id sid tid token lemma pos en-wikipedia-org-6541 1 1 Sisyphus Sisyphus NNP en-wikipedia-org-6541 1 2 cooling cooling NN en-wikipedia-org-6541 1 3 - - : en-wikipedia-org-6541 1 4 Wikipedia wikipedia JJ en-wikipedia-org-6541 1 5 Sisyphus Sisyphus NNP en-wikipedia-org-6541 1 6 cooling cool VBG en-wikipedia-org-6541 1 7 From from IN en-wikipedia-org-6541 1 8 Wikipedia Wikipedia NNP en-wikipedia-org-6541 1 9 , , , en-wikipedia-org-6541 1 10 the the DT en-wikipedia-org-6541 1 11 free free JJ en-wikipedia-org-6541 1 12 encyclopedia encyclopedia NN en-wikipedia-org-6541 1 13 Jump Jump NNP en-wikipedia-org-6541 1 14 to to IN en-wikipedia-org-6541 1 15 navigation navigation NN en-wikipedia-org-6541 1 16 Jump Jump NNP en-wikipedia-org-6541 1 17 to to TO en-wikipedia-org-6541 1 18 search search VB en-wikipedia-org-6541 1 19 Physical physical JJ en-wikipedia-org-6541 1 20 principle principle NN en-wikipedia-org-6541 1 21 of of IN en-wikipedia-org-6541 1 22 Sisyphus Sisyphus NNP en-wikipedia-org-6541 1 23 cooling cool VBG en-wikipedia-org-6541 1 24 : : : en-wikipedia-org-6541 1 25 The the DT en-wikipedia-org-6541 1 26 atoms atom NNS en-wikipedia-org-6541 1 27 are be VBP en-wikipedia-org-6541 1 28 running run VBG en-wikipedia-org-6541 1 29 against against IN en-wikipedia-org-6541 1 30 the the DT en-wikipedia-org-6541 1 31 potential potential JJ en-wikipedia-org-6541 1 32 energy energy NN en-wikipedia-org-6541 1 33 , , , en-wikipedia-org-6541 1 34 become become VBP en-wikipedia-org-6541 1 35 excited excited JJ en-wikipedia-org-6541 1 36 into into IN en-wikipedia-org-6541 1 37 a a DT en-wikipedia-org-6541 1 38 higher high JJR en-wikipedia-org-6541 1 39 band band NN en-wikipedia-org-6541 1 40 , , , en-wikipedia-org-6541 1 41 fall fall VB en-wikipedia-org-6541 1 42 back back RB en-wikipedia-org-6541 1 43 into into IN en-wikipedia-org-6541 1 44 a a DT en-wikipedia-org-6541 1 45 low low JJ en-wikipedia-org-6541 1 46 - - HYPH en-wikipedia-org-6541 1 47 energy energy NN en-wikipedia-org-6541 1 48 state state NN en-wikipedia-org-6541 1 49 ( ( -LRB- en-wikipedia-org-6541 1 50 i.e. i.e. FW en-wikipedia-org-6541 2 1 from from IN en-wikipedia-org-6541 2 2 the the DT en-wikipedia-org-6541 2 3 rather rather RB en-wikipedia-org-6541 2 4 high high JJ en-wikipedia-org-6541 2 5 " " `` en-wikipedia-org-6541 2 6 blue blue JJ en-wikipedia-org-6541 2 7 " " '' en-wikipedia-org-6541 2 8 state state NN en-wikipedia-org-6541 2 9 upwards upwards RB en-wikipedia-org-6541 2 10 , , , en-wikipedia-org-6541 2 11 then then RB en-wikipedia-org-6541 2 12 immediately immediately RB en-wikipedia-org-6541 2 13 backwards backwards RB en-wikipedia-org-6541 2 14 to to IN en-wikipedia-org-6541 2 15 the the DT en-wikipedia-org-6541 2 16 lower low JJR en-wikipedia-org-6541 2 17 " " `` en-wikipedia-org-6541 2 18 red red JJ en-wikipedia-org-6541 2 19 " " '' en-wikipedia-org-6541 2 20 state state NN en-wikipedia-org-6541 2 21 ) ) -RRB- en-wikipedia-org-6541 2 22 , , , en-wikipedia-org-6541 2 23 always always RB en-wikipedia-org-6541 2 24 on on IN en-wikipedia-org-6541 2 25 the the DT en-wikipedia-org-6541 2 26 left left JJ en-wikipedia-org-6541 2 27 - - HYPH en-wikipedia-org-6541 2 28 hand hand NN en-wikipedia-org-6541 2 29 side side NN en-wikipedia-org-6541 2 30 , , , en-wikipedia-org-6541 2 31 from from IN en-wikipedia-org-6541 2 32 which which WDT en-wikipedia-org-6541 2 33 , , , en-wikipedia-org-6541 2 34 after after IN en-wikipedia-org-6541 2 35 one one CD en-wikipedia-org-6541 2 36 and and CC en-wikipedia-org-6541 2 37 a a DT en-wikipedia-org-6541 2 38 half half NN en-wikipedia-org-6541 2 39 of of IN en-wikipedia-org-6541 2 40 the the DT en-wikipedia-org-6541 2 41 " " `` en-wikipedia-org-6541 2 42 red red JJ en-wikipedia-org-6541 2 43 " " '' en-wikipedia-org-6541 2 44 or or CC en-wikipedia-org-6541 2 45 " " `` en-wikipedia-org-6541 2 46 blue blue JJ en-wikipedia-org-6541 2 47 " " '' en-wikipedia-org-6541 2 48 period period NN en-wikipedia-org-6541 2 49 , , , en-wikipedia-org-6541 2 50 say say VBP en-wikipedia-org-6541 2 51 , , , en-wikipedia-org-6541 2 52 of of IN en-wikipedia-org-6541 2 53 the the DT en-wikipedia-org-6541 2 54 laser laser NN en-wikipedia-org-6541 2 55 action action NN en-wikipedia-org-6541 2 56 , , , en-wikipedia-org-6541 2 57 they -PRON- PRP en-wikipedia-org-6541 2 58 get get VBP en-wikipedia-org-6541 2 59 excited excited JJ en-wikipedia-org-6541 2 60 and and CC en-wikipedia-org-6541 2 61 de de JJ en-wikipedia-org-6541 2 62 - - JJ en-wikipedia-org-6541 2 63 excited excited JJ en-wikipedia-org-6541 2 64 again again RB en-wikipedia-org-6541 2 65 , , , en-wikipedia-org-6541 2 66 now now RB en-wikipedia-org-6541 2 67 from from IN en-wikipedia-org-6541 2 68 " " `` en-wikipedia-org-6541 2 69 red red JJ en-wikipedia-org-6541 2 70 " " '' en-wikipedia-org-6541 2 71 to to IN en-wikipedia-org-6541 2 72 " " `` en-wikipedia-org-6541 2 73 blue blue JJ en-wikipedia-org-6541 2 74 " " '' en-wikipedia-org-6541 2 75 , , , en-wikipedia-org-6541 2 76 on on IN en-wikipedia-org-6541 2 77 the the DT en-wikipedia-org-6541 2 78 r.h.s r.h.s NN en-wikipedia-org-6541 2 79 . . . en-wikipedia-org-6541 2 80 , , , en-wikipedia-org-6541 2 81 etc etc FW en-wikipedia-org-6541 2 82 . . . en-wikipedia-org-6541 3 1 Sisyphus Sisyphus NNP en-wikipedia-org-6541 3 2 cooling cool VBG en-wikipedia-org-6541 3 3 ( ( -LRB- en-wikipedia-org-6541 3 4 sometimes sometimes RB en-wikipedia-org-6541 3 5 called call VBN en-wikipedia-org-6541 3 6 polarization polarization NN en-wikipedia-org-6541 3 7 gradient gradient NN en-wikipedia-org-6541 3 8 cooling cooling NN en-wikipedia-org-6541 3 9 ) ) -RRB- en-wikipedia-org-6541 3 10 is be VBZ en-wikipedia-org-6541 3 11 a a DT en-wikipedia-org-6541 3 12 type type NN en-wikipedia-org-6541 3 13 of of IN en-wikipedia-org-6541 3 14 laser laser NN en-wikipedia-org-6541 3 15 cooling cooling NN en-wikipedia-org-6541 3 16 of of IN en-wikipedia-org-6541 3 17 atoms atom NNS en-wikipedia-org-6541 3 18 used use VBN en-wikipedia-org-6541 3 19 to to TO en-wikipedia-org-6541 3 20 reach reach VB en-wikipedia-org-6541 3 21 temperatures temperature NNS en-wikipedia-org-6541 3 22 below below IN en-wikipedia-org-6541 3 23 the the DT en-wikipedia-org-6541 3 24 Doppler Doppler NNP en-wikipedia-org-6541 3 25 cooling cooling NN en-wikipedia-org-6541 3 26 limit limit NN en-wikipedia-org-6541 3 27 . . . en-wikipedia-org-6541 4 1 This this DT en-wikipedia-org-6541 4 2 cooling cooling NN en-wikipedia-org-6541 4 3 method method NN en-wikipedia-org-6541 4 4 was be VBD en-wikipedia-org-6541 4 5 first first RB en-wikipedia-org-6541 4 6 proposed propose VBN en-wikipedia-org-6541 4 7 by by IN en-wikipedia-org-6541 4 8 Claude Claude NNP en-wikipedia-org-6541 4 9 Cohen Cohen NNP en-wikipedia-org-6541 4 10 - - HYPH en-wikipedia-org-6541 4 11 Tannoudji Tannoudji NNP en-wikipedia-org-6541 4 12 in in IN en-wikipedia-org-6541 4 13 1989,[1 1989,[1 CD en-wikipedia-org-6541 4 14 ] ] -RRB- en-wikipedia-org-6541 4 15 motivated motivate VBN en-wikipedia-org-6541 4 16 by by IN en-wikipedia-org-6541 4 17 earlier early JJR en-wikipedia-org-6541 4 18 experiments experiment NNS en-wikipedia-org-6541 4 19 which which WDT en-wikipedia-org-6541 4 20 observed observe VBD en-wikipedia-org-6541 4 21 sodium sodium NN en-wikipedia-org-6541 4 22 atoms atom NNS en-wikipedia-org-6541 4 23 cooled cool VBN en-wikipedia-org-6541 4 24 below below IN en-wikipedia-org-6541 4 25 the the DT en-wikipedia-org-6541 4 26 Doppler Doppler NNP en-wikipedia-org-6541 4 27 limit limit NN en-wikipedia-org-6541 4 28 in in IN en-wikipedia-org-6541 4 29 an an DT en-wikipedia-org-6541 4 30 optical optical JJ en-wikipedia-org-6541 4 31 molasses molasse NNS en-wikipedia-org-6541 4 32 . . . en-wikipedia-org-6541 5 1 [ [ -LRB- en-wikipedia-org-6541 5 2 2 2 LS en-wikipedia-org-6541 5 3 ] ] -RRB- en-wikipedia-org-6541 5 4 Cohen Cohen NNP en-wikipedia-org-6541 5 5 - - HYPH en-wikipedia-org-6541 5 6 Tannoudji Tannoudji NNP en-wikipedia-org-6541 5 7 received receive VBD en-wikipedia-org-6541 5 8 part part NN en-wikipedia-org-6541 5 9 of of IN en-wikipedia-org-6541 5 10 the the DT en-wikipedia-org-6541 5 11 Nobel Nobel NNP en-wikipedia-org-6541 5 12 Prize Prize NNP en-wikipedia-org-6541 5 13 in in IN en-wikipedia-org-6541 5 14 Physics Physics NNP en-wikipedia-org-6541 5 15 in in IN en-wikipedia-org-6541 5 16 1997 1997 CD en-wikipedia-org-6541 5 17 for for IN en-wikipedia-org-6541 5 18 his -PRON- PRP$ en-wikipedia-org-6541 5 19 work work NN en-wikipedia-org-6541 5 20 . . . en-wikipedia-org-6541 6 1 The the DT en-wikipedia-org-6541 6 2 technique technique NN en-wikipedia-org-6541 6 3 is be VBZ en-wikipedia-org-6541 6 4 named name VBN en-wikipedia-org-6541 6 5 after after IN en-wikipedia-org-6541 6 6 Sisyphus Sisyphus NNP en-wikipedia-org-6541 6 7 , , , en-wikipedia-org-6541 6 8 a a DT en-wikipedia-org-6541 6 9 figure figure NN en-wikipedia-org-6541 6 10 in in IN en-wikipedia-org-6541 6 11 the the DT en-wikipedia-org-6541 6 12 Greek greek JJ en-wikipedia-org-6541 6 13 mythology mythology NN en-wikipedia-org-6541 6 14 , , , en-wikipedia-org-6541 6 15 who who WP en-wikipedia-org-6541 6 16 was be VBD en-wikipedia-org-6541 6 17 doomed doom VBN en-wikipedia-org-6541 6 18 , , , en-wikipedia-org-6541 6 19 for for IN en-wikipedia-org-6541 6 20 all all DT en-wikipedia-org-6541 6 21 eternity eternity NN en-wikipedia-org-6541 6 22 , , , en-wikipedia-org-6541 6 23 to to TO en-wikipedia-org-6541 6 24 roll roll VB en-wikipedia-org-6541 6 25 a a DT en-wikipedia-org-6541 6 26 stone stone NN en-wikipedia-org-6541 6 27 up up IN en-wikipedia-org-6541 6 28 a a DT en-wikipedia-org-6541 6 29 mountain mountain NN en-wikipedia-org-6541 6 30 only only RB en-wikipedia-org-6541 6 31 to to TO en-wikipedia-org-6541 6 32 have have VB en-wikipedia-org-6541 6 33 it -PRON- PRP en-wikipedia-org-6541 6 34 roll roll VB en-wikipedia-org-6541 6 35 down down RP en-wikipedia-org-6541 6 36 again again RB en-wikipedia-org-6541 6 37 whenever whenever WRB en-wikipedia-org-6541 6 38 he -PRON- PRP en-wikipedia-org-6541 6 39 got get VBD en-wikipedia-org-6541 6 40 near near IN en-wikipedia-org-6541 6 41 the the DT en-wikipedia-org-6541 6 42 summit summit NN en-wikipedia-org-6541 6 43 . . . en-wikipedia-org-6541 7 1 Contents content NNS en-wikipedia-org-6541 7 2 1 1 CD en-wikipedia-org-6541 7 3 Method method NN en-wikipedia-org-6541 7 4 1.1 1.1 CD en-wikipedia-org-6541 7 5 Principal Principal NNP en-wikipedia-org-6541 7 6 of of IN en-wikipedia-org-6541 7 7 sisyphus sisyphu NNS en-wikipedia-org-6541 7 8 cooling cool VBG en-wikipedia-org-6541 7 9 1.2 1.2 CD en-wikipedia-org-6541 7 10 Typical typical JJ en-wikipedia-org-6541 7 11 optical optical JJ en-wikipedia-org-6541 7 12 pumping pumping NN en-wikipedia-org-6541 7 13 scheme scheme NN en-wikipedia-org-6541 7 14 2 2 CD en-wikipedia-org-6541 7 15 Limits limit NNS en-wikipedia-org-6541 7 16 3 3 CD en-wikipedia-org-6541 7 17 References References NNPS en-wikipedia-org-6541 7 18 Method[edit method[edit NN en-wikipedia-org-6541 7 19 ] ] -RRB- en-wikipedia-org-6541 7 20 Sisyphus sisyphus NN en-wikipedia-org-6541 7 21 cooling cooling NN en-wikipedia-org-6541 7 22 can can MD en-wikipedia-org-6541 7 23 be be VB en-wikipedia-org-6541 7 24 achieved achieve VBN en-wikipedia-org-6541 7 25 by by IN en-wikipedia-org-6541 7 26 shining shine VBG en-wikipedia-org-6541 7 27 two two CD en-wikipedia-org-6541 7 28 counter counter RB en-wikipedia-org-6541 7 29 - - JJ en-wikipedia-org-6541 7 30 propagating propagate VBG en-wikipedia-org-6541 7 31 laser laser NN en-wikipedia-org-6541 7 32 beams beam NNS en-wikipedia-org-6541 7 33 with with IN en-wikipedia-org-6541 7 34 orthogonal orthogonal JJ en-wikipedia-org-6541 7 35 polarization polarization NN en-wikipedia-org-6541 7 36 onto onto IN en-wikipedia-org-6541 7 37 an an DT en-wikipedia-org-6541 7 38 atom atom JJ en-wikipedia-org-6541 7 39 sample sample NN en-wikipedia-org-6541 7 40 . . . en-wikipedia-org-6541 8 1 Atoms atom NNS en-wikipedia-org-6541 8 2 moving move VBG en-wikipedia-org-6541 8 3 through through IN en-wikipedia-org-6541 8 4 the the DT en-wikipedia-org-6541 8 5 potential potential JJ en-wikipedia-org-6541 8 6 landscape landscape NN en-wikipedia-org-6541 8 7 along along IN en-wikipedia-org-6541 8 8 the the DT en-wikipedia-org-6541 8 9 direction direction NN en-wikipedia-org-6541 8 10 of of IN en-wikipedia-org-6541 8 11 the the DT en-wikipedia-org-6541 8 12 standing stand VBG en-wikipedia-org-6541 8 13 wave wave NN en-wikipedia-org-6541 8 14 lose lose VB en-wikipedia-org-6541 8 15 kinetic kinetic JJ en-wikipedia-org-6541 8 16 energy energy NN en-wikipedia-org-6541 8 17 as as IN en-wikipedia-org-6541 8 18 they -PRON- PRP en-wikipedia-org-6541 8 19 move move VBP en-wikipedia-org-6541 8 20 to to IN en-wikipedia-org-6541 8 21 a a DT en-wikipedia-org-6541 8 22 potential potential JJ en-wikipedia-org-6541 8 23 maximum maximum NN en-wikipedia-org-6541 8 24 , , , en-wikipedia-org-6541 8 25 at at IN en-wikipedia-org-6541 8 26 which which WDT en-wikipedia-org-6541 8 27 point point NN en-wikipedia-org-6541 8 28 optical optical JJ en-wikipedia-org-6541 8 29 pumping pumping NN en-wikipedia-org-6541 8 30 moves move VBZ en-wikipedia-org-6541 8 31 them -PRON- PRP en-wikipedia-org-6541 8 32 back back RB en-wikipedia-org-6541 8 33 to to IN en-wikipedia-org-6541 8 34 a a DT en-wikipedia-org-6541 8 35 lower low JJR en-wikipedia-org-6541 8 36 energy energy NN en-wikipedia-org-6541 8 37 state state NN en-wikipedia-org-6541 8 38 , , , en-wikipedia-org-6541 8 39 thus thus RB en-wikipedia-org-6541 8 40 lowering lower VBG en-wikipedia-org-6541 8 41 the the DT en-wikipedia-org-6541 8 42 total total JJ en-wikipedia-org-6541 8 43 energy energy NN en-wikipedia-org-6541 8 44 of of IN en-wikipedia-org-6541 8 45 the the DT en-wikipedia-org-6541 8 46 atom atom NN en-wikipedia-org-6541 8 47 . . . en-wikipedia-org-6541 9 1 This this DT en-wikipedia-org-6541 9 2 description description NN en-wikipedia-org-6541 9 3 of of IN en-wikipedia-org-6541 9 4 Sisyphus Sisyphus NNP en-wikipedia-org-6541 9 5 cooling cool VBG en-wikipedia-org-6541 9 6 is be VBZ en-wikipedia-org-6541 9 7 largely largely RB en-wikipedia-org-6541 9 8 based base VBN en-wikipedia-org-6541 9 9 on on IN en-wikipedia-org-6541 9 10 Foot Foot NNP en-wikipedia-org-6541 9 11 's 's POS en-wikipedia-org-6541 9 12 description description NN en-wikipedia-org-6541 9 13 . . . en-wikipedia-org-6541 10 1 [ [ -LRB- en-wikipedia-org-6541 10 2 3 3 LS en-wikipedia-org-6541 10 3 ] ] -RRB- en-wikipedia-org-6541 10 4 Principal principal NN en-wikipedia-org-6541 10 5 of of IN en-wikipedia-org-6541 10 6 sisyphus sisyphu NNS en-wikipedia-org-6541 10 7 cooling[edit cooling[edit LS en-wikipedia-org-6541 10 8 ] ] -RRB- en-wikipedia-org-6541 10 9 The the DT en-wikipedia-org-6541 10 10 counter counter NN en-wikipedia-org-6541 10 11 - - NN en-wikipedia-org-6541 10 12 propagation propagation NN en-wikipedia-org-6541 10 13 of of IN en-wikipedia-org-6541 10 14 two two CD en-wikipedia-org-6541 10 15 orthogonally orthogonally RB en-wikipedia-org-6541 10 16 polarized polarize VBN en-wikipedia-org-6541 10 17 lasers laser NNS en-wikipedia-org-6541 10 18 , , , en-wikipedia-org-6541 10 19 the the DT en-wikipedia-org-6541 10 20 so so RB en-wikipedia-org-6541 10 21 - - HYPH en-wikipedia-org-6541 10 22 called call VBN en-wikipedia-org-6541 10 23 " " `` en-wikipedia-org-6541 10 24 lin lin NNP en-wikipedia-org-6541 10 25 perp perp NNP en-wikipedia-org-6541 10 26 lin lin NNP en-wikipedia-org-6541 10 27 " " '' en-wikipedia-org-6541 10 28 configuration configuration NN en-wikipedia-org-6541 10 29 , , , en-wikipedia-org-6541 10 30 generates generate VBZ en-wikipedia-org-6541 10 31 a a DT en-wikipedia-org-6541 10 32 standing stand VBG en-wikipedia-org-6541 10 33 wave wave NN en-wikipedia-org-6541 10 34 in in IN en-wikipedia-org-6541 10 35 polarization polarization NN en-wikipedia-org-6541 10 36 with with IN en-wikipedia-org-6541 10 37 a a DT en-wikipedia-org-6541 10 38 gradient gradient NN en-wikipedia-org-6541 10 39 between between IN en-wikipedia-org-6541 10 40 σ σ NNP en-wikipedia-org-6541 10 41 − − NNP en-wikipedia-org-6541 10 42 { { -LRB- en-wikipedia-org-6541 10 43 \textstyle \textstyle CD en-wikipedia-org-6541 10 44 \sigma \sigma CD en-wikipedia-org-6541 10 45 - - HYPH en-wikipedia-org-6541 10 46 } } -RRB- en-wikipedia-org-6541 10 47 ( ( -LRB- en-wikipedia-org-6541 10 48 left left JJ en-wikipedia-org-6541 10 49 - - HYPH en-wikipedia-org-6541 10 50 hand hand NN en-wikipedia-org-6541 10 51 circularly circularly RB en-wikipedia-org-6541 10 52 polarized polarize VBN en-wikipedia-org-6541 10 53 light light NN en-wikipedia-org-6541 10 54 ) ) -RRB- en-wikipedia-org-6541 10 55 , , , en-wikipedia-org-6541 10 56 linear linear JJ en-wikipedia-org-6541 10 57 , , , en-wikipedia-org-6541 10 58 and and CC en-wikipedia-org-6541 10 59 σ σ NN en-wikipedia-org-6541 10 60 + + SYM en-wikipedia-org-6541 10 61 { { -LRB- en-wikipedia-org-6541 10 62 \textstyle \textstyle CD en-wikipedia-org-6541 10 63 \sigma \sigma CD en-wikipedia-org-6541 10 64 + + SYM en-wikipedia-org-6541 10 65 } } -RRB- en-wikipedia-org-6541 10 66 ( ( -LRB- en-wikipedia-org-6541 10 67 right right JJ en-wikipedia-org-6541 10 68 - - HYPH en-wikipedia-org-6541 10 69 hand hand NN en-wikipedia-org-6541 10 70 circularly circularly RB en-wikipedia-org-6541 10 71 polarized polarize VBD en-wikipedia-org-6541 10 72 light light NN en-wikipedia-org-6541 10 73 ) ) -RRB- en-wikipedia-org-6541 10 74 along along IN en-wikipedia-org-6541 10 75 the the DT en-wikipedia-org-6541 10 76 standing stand VBG en-wikipedia-org-6541 10 77 wave wave NN en-wikipedia-org-6541 10 78 . . . en-wikipedia-org-6541 11 1 Note note VB en-wikipedia-org-6541 11 2 that that IN en-wikipedia-org-6541 11 3 this this DT en-wikipedia-org-6541 11 4 counter counter NN en-wikipedia-org-6541 11 5 propagation propagation NN en-wikipedia-org-6541 11 6 does do VBZ en-wikipedia-org-6541 11 7 not not RB en-wikipedia-org-6541 11 8 make make VB en-wikipedia-org-6541 11 9 a a DT en-wikipedia-org-6541 11 10 standing stand VBG en-wikipedia-org-6541 11 11 wave wave NN en-wikipedia-org-6541 11 12 in in IN en-wikipedia-org-6541 11 13 intensity intensity NN en-wikipedia-org-6541 11 14 , , , en-wikipedia-org-6541 11 15 but but CC en-wikipedia-org-6541 11 16 only only RB en-wikipedia-org-6541 11 17 in in IN en-wikipedia-org-6541 11 18 polarization polarization NN en-wikipedia-org-6541 11 19 . . . en-wikipedia-org-6541 12 1 This this DT en-wikipedia-org-6541 12 2 gradient gradient NN en-wikipedia-org-6541 12 3 occurs occur VBZ en-wikipedia-org-6541 12 4 over over IN en-wikipedia-org-6541 12 5 a a DT en-wikipedia-org-6541 12 6 length length NN en-wikipedia-org-6541 12 7 scale scale NN en-wikipedia-org-6541 12 8 of of IN en-wikipedia-org-6541 12 9 λ λ NN en-wikipedia-org-6541 12 10 2 2 CD en-wikipedia-org-6541 12 11 { { -LRB- en-wikipedia-org-6541 12 12 \textstyle \textstyle CD en-wikipedia-org-6541 12 13 { { -LRB- en-wikipedia-org-6541 12 14 \frac \frac CD en-wikipedia-org-6541 12 15 { { -LRB- en-wikipedia-org-6541 12 16 \lambda \lambda CD en-wikipedia-org-6541 12 17 } } -RRB- en-wikipedia-org-6541 12 18 { { -LRB- en-wikipedia-org-6541 12 19 2 2 CD en-wikipedia-org-6541 12 20 } } -RRB- en-wikipedia-org-6541 12 21 } } -RRB- en-wikipedia-org-6541 12 22 } } -RRB- en-wikipedia-org-6541 12 23 , , , en-wikipedia-org-6541 12 24 and and CC en-wikipedia-org-6541 12 25 then then RB en-wikipedia-org-6541 12 26 repeats repeat VBZ en-wikipedia-org-6541 12 27 , , , en-wikipedia-org-6541 12 28 mirrored mirror VBN en-wikipedia-org-6541 12 29 about about IN en-wikipedia-org-6541 12 30 the the DT en-wikipedia-org-6541 12 31 y y NNP en-wikipedia-org-6541 12 32 - - HYPH en-wikipedia-org-6541 12 33 z z NNP en-wikipedia-org-6541 12 34 plane plane NN en-wikipedia-org-6541 12 35 . . . en-wikipedia-org-6541 13 1 At at IN en-wikipedia-org-6541 13 2 positions position NNS en-wikipedia-org-6541 13 3 where where WRB en-wikipedia-org-6541 13 4 the the DT en-wikipedia-org-6541 13 5 counter counter NN en-wikipedia-org-6541 13 6 - - JJ en-wikipedia-org-6541 13 7 propagating propagate VBG en-wikipedia-org-6541 13 8 beams beam NNS en-wikipedia-org-6541 13 9 have have VBP en-wikipedia-org-6541 13 10 a a DT en-wikipedia-org-6541 13 11 phase phase NN en-wikipedia-org-6541 13 12 difference difference NN en-wikipedia-org-6541 13 13 of of IN en-wikipedia-org-6541 13 14 π π CD en-wikipedia-org-6541 13 15 2 2 CD en-wikipedia-org-6541 13 16 { { -LRB- en-wikipedia-org-6541 13 17 \textstyle \textstyle CD en-wikipedia-org-6541 13 18 { { -LRB- en-wikipedia-org-6541 13 19 \frac \frac CD en-wikipedia-org-6541 13 20 { { -LRB- en-wikipedia-org-6541 13 21 \pi \pi NN en-wikipedia-org-6541 13 22 } } -RRB- en-wikipedia-org-6541 13 23 { { -LRB- en-wikipedia-org-6541 13 24 2 2 CD en-wikipedia-org-6541 13 25 } } -RRB- en-wikipedia-org-6541 13 26 } } -RRB- en-wikipedia-org-6541 13 27 } } -RRB- en-wikipedia-org-6541 13 28 , , , en-wikipedia-org-6541 13 29 the the DT en-wikipedia-org-6541 13 30 polarization polarization NN en-wikipedia-org-6541 13 31 is be VBZ en-wikipedia-org-6541 13 32 circular circular JJ en-wikipedia-org-6541 13 33 , , , en-wikipedia-org-6541 13 34 and and CC en-wikipedia-org-6541 13 35 where where WRB en-wikipedia-org-6541 13 36 there there EX en-wikipedia-org-6541 13 37 is be VBZ en-wikipedia-org-6541 13 38 no no DT en-wikipedia-org-6541 13 39 phase phase NN en-wikipedia-org-6541 13 40 difference difference NN en-wikipedia-org-6541 13 41 , , , en-wikipedia-org-6541 13 42 the the DT en-wikipedia-org-6541 13 43 polarization polarization NN en-wikipedia-org-6541 13 44 is be VBZ en-wikipedia-org-6541 13 45 linear linear JJ en-wikipedia-org-6541 13 46 . . . en-wikipedia-org-6541 14 1 In in IN en-wikipedia-org-6541 14 2 the the DT en-wikipedia-org-6541 14 3 intermediate intermediate JJ en-wikipedia-org-6541 14 4 regions region NNS en-wikipedia-org-6541 14 5 , , , en-wikipedia-org-6541 14 6 there there EX en-wikipedia-org-6541 14 7 is be VBZ en-wikipedia-org-6541 14 8 a a DT en-wikipedia-org-6541 14 9 gradient gradient JJ en-wikipedia-org-6541 14 10 elipticity elipticity NN en-wikipedia-org-6541 14 11 of of IN en-wikipedia-org-6541 14 12 the the DT en-wikipedia-org-6541 14 13 superposed superpose VBN en-wikipedia-org-6541 14 14 fields field NNS en-wikipedia-org-6541 14 15 . . . en-wikipedia-org-6541 15 1 Consider consider VB en-wikipedia-org-6541 15 2 , , , en-wikipedia-org-6541 15 3 for for IN en-wikipedia-org-6541 15 4 example example NN en-wikipedia-org-6541 15 5 , , , en-wikipedia-org-6541 15 6 an an DT en-wikipedia-org-6541 15 7 atom atom NN en-wikipedia-org-6541 15 8 with with IN en-wikipedia-org-6541 15 9 ground ground NN en-wikipedia-org-6541 15 10 state state NN en-wikipedia-org-6541 15 11 angular angular JJ en-wikipedia-org-6541 15 12 momentum momentum NN en-wikipedia-org-6541 15 13 J J NNP en-wikipedia-org-6541 15 14 = = SYM en-wikipedia-org-6541 15 15 1 1 CD en-wikipedia-org-6541 15 16 2 2 CD en-wikipedia-org-6541 15 17 { { -LRB- en-wikipedia-org-6541 15 18 \textstyle \textstyle CD en-wikipedia-org-6541 15 19 J={\frac J={\frac NNS en-wikipedia-org-6541 15 20 { { -LRB- en-wikipedia-org-6541 15 21 1}{2 1}{2 NNP en-wikipedia-org-6541 15 22 } } -RRB- en-wikipedia-org-6541 15 23 } } -RRB- en-wikipedia-org-6541 15 24 } } -RRB- en-wikipedia-org-6541 15 25 and and CC en-wikipedia-org-6541 15 26 excited excited JJ en-wikipedia-org-6541 15 27 state state NN en-wikipedia-org-6541 15 28 angular angular JJ en-wikipedia-org-6541 15 29 momentum momentum NN en-wikipedia-org-6541 15 30 J J NNP en-wikipedia-org-6541 15 31 ′ ′ NNP en-wikipedia-org-6541 15 32 = = SYM en-wikipedia-org-6541 15 33 3 3 CD en-wikipedia-org-6541 15 34 2 2 CD en-wikipedia-org-6541 15 35 { { -LRB- en-wikipedia-org-6541 15 36 \textstyle \textstyle CD en-wikipedia-org-6541 15 37 J'={\frac J'={\frac NNP en-wikipedia-org-6541 15 38 { { -LRB- en-wikipedia-org-6541 15 39 3}{2 3}{2 NNP en-wikipedia-org-6541 15 40 } } -RRB- en-wikipedia-org-6541 15 41 } } -RRB- en-wikipedia-org-6541 15 42 } } -RRB- en-wikipedia-org-6541 15 43 . . . en-wikipedia-org-6541 16 1 The the DT en-wikipedia-org-6541 16 2 M M NNP en-wikipedia-org-6541 16 3 J J NNP en-wikipedia-org-6541 16 4 { { -LRB- en-wikipedia-org-6541 16 5 \textstyle \textstyle CD en-wikipedia-org-6541 16 6 M_{J m_{j NN en-wikipedia-org-6541 16 7 } } -RRB- en-wikipedia-org-6541 16 8 } } -RRB- en-wikipedia-org-6541 16 9 sublevels sublevel NNS en-wikipedia-org-6541 16 10 for for IN en-wikipedia-org-6541 16 11 the the DT en-wikipedia-org-6541 16 12 ground ground NN en-wikipedia-org-6541 16 13 state state NN en-wikipedia-org-6541 16 14 are be VBP en-wikipedia-org-6541 16 15 M M NNP en-wikipedia-org-6541 16 16 J J NNP en-wikipedia-org-6541 16 17 = = SYM en-wikipedia-org-6541 16 18 − − NNP en-wikipedia-org-6541 16 19 1 1 CD en-wikipedia-org-6541 16 20 2 2 CD en-wikipedia-org-6541 16 21 , , , en-wikipedia-org-6541 16 22 + + CC en-wikipedia-org-6541 16 23 1 1 CD en-wikipedia-org-6541 16 24 2 2 CD en-wikipedia-org-6541 16 25 { { -LRB- en-wikipedia-org-6541 16 26 \displaystyle \displaystyle CD en-wikipedia-org-6541 16 27 M_{J}=-{\frac m_{j}=-{\frac NN en-wikipedia-org-6541 16 28 { { -LRB- en-wikipedia-org-6541 16 29 1}{2}},+{\frac 1}{2}},+{\frac CD en-wikipedia-org-6541 16 30 { { -LRB- en-wikipedia-org-6541 16 31 1}{2 1}{2 NNP en-wikipedia-org-6541 16 32 } } -RRB- en-wikipedia-org-6541 16 33 } } -RRB- en-wikipedia-org-6541 16 34 } } -RRB- en-wikipedia-org-6541 16 35 and and CC en-wikipedia-org-6541 16 36 the the DT en-wikipedia-org-6541 16 37 M M NNP en-wikipedia-org-6541 16 38 J J NNP en-wikipedia-org-6541 16 39 ′ ′ CD en-wikipedia-org-6541 16 40 { { -LRB- en-wikipedia-org-6541 16 41 \textstyle \textstyle CD en-wikipedia-org-6541 16 42 M_{J m_{j NN en-wikipedia-org-6541 16 43 ' ' '' en-wikipedia-org-6541 16 44 } } -RRB- en-wikipedia-org-6541 16 45 } } -RRB- en-wikipedia-org-6541 16 46 levels level NNS en-wikipedia-org-6541 16 47 for for IN en-wikipedia-org-6541 16 48 the the DT en-wikipedia-org-6541 16 49 excited excited JJ en-wikipedia-org-6541 16 50 state state NN en-wikipedia-org-6541 16 51 are be VBP en-wikipedia-org-6541 16 52 M M NNP en-wikipedia-org-6541 16 53 J J NNP en-wikipedia-org-6541 16 54 ′ ′ ADD en-wikipedia-org-6541 16 55 = = SYM en-wikipedia-org-6541 16 56 − − NNP en-wikipedia-org-6541 16 57 3 3 CD en-wikipedia-org-6541 16 58 2 2 CD en-wikipedia-org-6541 16 59 , , , en-wikipedia-org-6541 16 60 − − NNP en-wikipedia-org-6541 16 61 1 1 CD en-wikipedia-org-6541 16 62 2 2 CD en-wikipedia-org-6541 16 63 , , , en-wikipedia-org-6541 16 64 + + CC en-wikipedia-org-6541 16 65 1 1 CD en-wikipedia-org-6541 16 66 2 2 CD en-wikipedia-org-6541 16 67 , , , en-wikipedia-org-6541 16 68 + + CC en-wikipedia-org-6541 16 69 3 3 CD en-wikipedia-org-6541 16 70 2 2 CD en-wikipedia-org-6541 16 71 { { -LRB- en-wikipedia-org-6541 16 72 \displaystyle \displaystyle CD en-wikipedia-org-6541 16 73 M_{J'}=-{\frac M_{J'}=-{\frac NNP en-wikipedia-org-6541 16 74 { { -LRB- en-wikipedia-org-6541 16 75 3}{2}},-{\frac 3}{2}},-{\frac CD en-wikipedia-org-6541 16 76 { { -LRB- en-wikipedia-org-6541 16 77 1}{2}},+{\frac 1}{2}},+{\frac CD en-wikipedia-org-6541 16 78 { { -LRB- en-wikipedia-org-6541 16 79 1}{2}},+{\frac 1}{2}},+{\frac CD en-wikipedia-org-6541 16 80 { { -LRB- en-wikipedia-org-6541 16 81 3}{2 3}{2 NNP en-wikipedia-org-6541 16 82 } } -RRB- en-wikipedia-org-6541 16 83 } } -RRB- en-wikipedia-org-6541 16 84 } } -RRB- en-wikipedia-org-6541 16 85 In in IN en-wikipedia-org-6541 16 86 the the DT en-wikipedia-org-6541 16 87 field field NN en-wikipedia-org-6541 16 88 - - HYPH en-wikipedia-org-6541 16 89 free free JJ en-wikipedia-org-6541 16 90 case case NN en-wikipedia-org-6541 16 91 , , , en-wikipedia-org-6541 16 92 all all DT en-wikipedia-org-6541 16 93 of of IN en-wikipedia-org-6541 16 94 these these DT en-wikipedia-org-6541 16 95 energy energy NN en-wikipedia-org-6541 16 96 levels level NNS en-wikipedia-org-6541 16 97 for for IN en-wikipedia-org-6541 16 98 each each DT en-wikipedia-org-6541 16 99 J J NNP en-wikipedia-org-6541 16 100 value value NN en-wikipedia-org-6541 16 101 are be VBP en-wikipedia-org-6541 16 102 degenerate degenerate JJ en-wikipedia-org-6541 16 103 , , , en-wikipedia-org-6541 16 104 but but CC en-wikipedia-org-6541 16 105 in in IN en-wikipedia-org-6541 16 106 the the DT en-wikipedia-org-6541 16 107 presence presence NN en-wikipedia-org-6541 16 108 of of IN en-wikipedia-org-6541 16 109 a a DT en-wikipedia-org-6541 16 110 circularly circularly RB en-wikipedia-org-6541 16 111 polarized polarize VBN en-wikipedia-org-6541 16 112 light light JJ en-wikipedia-org-6541 16 113 field field NN en-wikipedia-org-6541 16 114 , , , en-wikipedia-org-6541 16 115 the the DT en-wikipedia-org-6541 16 116 Autler Autler NNP en-wikipedia-org-6541 16 117 - - HYPH en-wikipedia-org-6541 16 118 Townes Townes NNP en-wikipedia-org-6541 16 119 effect effect NN en-wikipedia-org-6541 16 120 , , , en-wikipedia-org-6541 16 121 ( ( -LRB- en-wikipedia-org-6541 16 122 AC AC NNP en-wikipedia-org-6541 16 123 Stark Stark NNP en-wikipedia-org-6541 16 124 shift shift NN en-wikipedia-org-6541 16 125 or or CC en-wikipedia-org-6541 16 126 light light JJ en-wikipedia-org-6541 16 127 shift shift NN en-wikipedia-org-6541 16 128 ) ) -RRB- en-wikipedia-org-6541 16 129 , , , en-wikipedia-org-6541 16 130 lifts lift VBZ en-wikipedia-org-6541 16 131 this this DT en-wikipedia-org-6541 16 132 degeneracy degeneracy NN en-wikipedia-org-6541 16 133 . . . en-wikipedia-org-6541 17 1 The the DT en-wikipedia-org-6541 17 2 extent extent NN en-wikipedia-org-6541 17 3 and and CC en-wikipedia-org-6541 17 4 direction direction NN en-wikipedia-org-6541 17 5 of of IN en-wikipedia-org-6541 17 6 this this DT en-wikipedia-org-6541 17 7 lifted lift VBN en-wikipedia-org-6541 17 8 degeneracy degeneracy NN en-wikipedia-org-6541 17 9 is be VBZ en-wikipedia-org-6541 17 10 dependent dependent JJ en-wikipedia-org-6541 17 11 on on IN en-wikipedia-org-6541 17 12 the the DT en-wikipedia-org-6541 17 13 polarization polarization NN en-wikipedia-org-6541 17 14 of of IN en-wikipedia-org-6541 17 15 the the DT en-wikipedia-org-6541 17 16 light light NN en-wikipedia-org-6541 17 17 . . . en-wikipedia-org-6541 18 1 It -PRON- PRP en-wikipedia-org-6541 18 2 is be VBZ en-wikipedia-org-6541 18 3 this this DT en-wikipedia-org-6541 18 4 polarization polarization NN en-wikipedia-org-6541 18 5 dependence dependence NN en-wikipedia-org-6541 18 6 that that WDT en-wikipedia-org-6541 18 7 is be VBZ en-wikipedia-org-6541 18 8 leveraged leveraged JJ en-wikipedia-org-6541 18 9 to to TO en-wikipedia-org-6541 18 10 apply apply VB en-wikipedia-org-6541 18 11 a a DT en-wikipedia-org-6541 18 12 spatially spatially RB en-wikipedia-org-6541 18 13 - - HYPH en-wikipedia-org-6541 18 14 dependent dependent JJ en-wikipedia-org-6541 18 15 slowing slowing JJ en-wikipedia-org-6541 18 16 force force NN en-wikipedia-org-6541 18 17 to to IN en-wikipedia-org-6541 18 18 the the DT en-wikipedia-org-6541 18 19 atom atom NN en-wikipedia-org-6541 18 20 . . . en-wikipedia-org-6541 19 1 Typical typical JJ en-wikipedia-org-6541 19 2 optical optical JJ en-wikipedia-org-6541 19 3 pumping pumping NN en-wikipedia-org-6541 19 4 scheme[edit scheme[edit NN en-wikipedia-org-6541 19 5 ] ] -RRB- en-wikipedia-org-6541 19 6 In in IN en-wikipedia-org-6541 19 7 order order NN en-wikipedia-org-6541 19 8 to to TO en-wikipedia-org-6541 19 9 have have VB en-wikipedia-org-6541 19 10 a a DT en-wikipedia-org-6541 19 11 cooling cool VBG en-wikipedia-org-6541 19 12 effect effect NN en-wikipedia-org-6541 19 13 , , , en-wikipedia-org-6541 19 14 there there EX en-wikipedia-org-6541 19 15 must must MD en-wikipedia-org-6541 19 16 be be VB en-wikipedia-org-6541 19 17 some some DT en-wikipedia-org-6541 19 18 dissipation dissipation NN en-wikipedia-org-6541 19 19 of of IN en-wikipedia-org-6541 19 20 energy energy NN en-wikipedia-org-6541 19 21 . . . en-wikipedia-org-6541 20 1 Selection selection NN en-wikipedia-org-6541 20 2 rules rule NNS en-wikipedia-org-6541 20 3 for for IN en-wikipedia-org-6541 20 4 dipole dipole JJ en-wikipedia-org-6541 20 5 transitions transition NNS en-wikipedia-org-6541 20 6 dictate dictate VBP en-wikipedia-org-6541 20 7 that that IN en-wikipedia-org-6541 20 8 for for IN en-wikipedia-org-6541 20 9 this this DT en-wikipedia-org-6541 20 10 example example NN en-wikipedia-org-6541 20 11 , , , en-wikipedia-org-6541 20 12 Δ Δ NNP en-wikipedia-org-6541 20 13 J J NNP en-wikipedia-org-6541 20 14 = = SYM en-wikipedia-org-6541 20 15 − − NNP en-wikipedia-org-6541 20 16 1 1 CD en-wikipedia-org-6541 20 17 , , , en-wikipedia-org-6541 20 18 + + CC en-wikipedia-org-6541 20 19 1 1 CD en-wikipedia-org-6541 20 20 { { -LRB- en-wikipedia-org-6541 20 21 \displaystyle \displaystyle CD en-wikipedia-org-6541 20 22 \Delta \Delta NNP en-wikipedia-org-6541 20 23 J=-1,+1 J=-1,+1 NNP en-wikipedia-org-6541 20 24 } } -RRB- en-wikipedia-org-6541 20 25 and and CC en-wikipedia-org-6541 20 26 Δ Δ NNP en-wikipedia-org-6541 20 27 M M NNP en-wikipedia-org-6541 20 28 J J NNP en-wikipedia-org-6541 20 29 = = SYM en-wikipedia-org-6541 20 30 0 0 NFP en-wikipedia-org-6541 20 31 , , , en-wikipedia-org-6541 20 32 − − NNP en-wikipedia-org-6541 20 33 1 1 CD en-wikipedia-org-6541 20 34 , , , en-wikipedia-org-6541 20 35 + + CC en-wikipedia-org-6541 20 36 1 1 CD en-wikipedia-org-6541 20 37 { { -LRB- en-wikipedia-org-6541 20 38 \displaystyle \displaystyle CD en-wikipedia-org-6541 20 39 \Delta \Delta NNP en-wikipedia-org-6541 20 40 M_{J}=0,-1,+1 M_{J}=0,-1,+1 NNP en-wikipedia-org-6541 20 41 } } -RRB- en-wikipedia-org-6541 20 42 with with IN en-wikipedia-org-6541 20 43 relative relative JJ en-wikipedia-org-6541 20 44 intensities intensity NNS en-wikipedia-org-6541 20 45 given give VBN en-wikipedia-org-6541 20 46 by by IN en-wikipedia-org-6541 20 47 the the DT en-wikipedia-org-6541 20 48 square square NN en-wikipedia-org-6541 20 49 of of IN en-wikipedia-org-6541 20 50 the the DT en-wikipedia-org-6541 20 51 Clebsch Clebsch NNP en-wikipedia-org-6541 20 52 - - HYPH en-wikipedia-org-6541 20 53 Gordan Gordan NNP en-wikipedia-org-6541 20 54 coefficients coefficient NNS en-wikipedia-org-6541 20 55 . . . en-wikipedia-org-6541 21 1 Suppose suppose VB en-wikipedia-org-6541 21 2 we -PRON- PRP en-wikipedia-org-6541 21 3 start start VBP en-wikipedia-org-6541 21 4 with with IN en-wikipedia-org-6541 21 5 a a DT en-wikipedia-org-6541 21 6 single single JJ en-wikipedia-org-6541 21 7 atom atom NN en-wikipedia-org-6541 21 8 in in IN en-wikipedia-org-6541 21 9 the the DT en-wikipedia-org-6541 21 10 ground ground NN en-wikipedia-org-6541 21 11 state state NN en-wikipedia-org-6541 21 12 , , , en-wikipedia-org-6541 21 13 J J NNP en-wikipedia-org-6541 21 14 = = SYM en-wikipedia-org-6541 21 15 1 1 CD en-wikipedia-org-6541 21 16 2 2 CD en-wikipedia-org-6541 21 17 { { -LRB- en-wikipedia-org-6541 21 18 \textstyle \textstyle CD en-wikipedia-org-6541 21 19 J={\frac J={\frac NNS en-wikipedia-org-6541 21 20 { { -LRB- en-wikipedia-org-6541 21 21 1}{2 1}{2 NNP en-wikipedia-org-6541 21 22 } } -RRB- en-wikipedia-org-6541 21 23 } } -RRB- en-wikipedia-org-6541 21 24 } } -RRB- en-wikipedia-org-6541 21 25 , , , en-wikipedia-org-6541 21 26 in in IN en-wikipedia-org-6541 21 27 the the DT en-wikipedia-org-6541 21 28 M M NNP en-wikipedia-org-6541 21 29 J J NNP en-wikipedia-org-6541 21 30 = = SYM en-wikipedia-org-6541 21 31 1 1 CD en-wikipedia-org-6541 21 32 2 2 CD en-wikipedia-org-6541 21 33 { { -LRB- en-wikipedia-org-6541 21 34 \textstyle \textstyle CD en-wikipedia-org-6541 21 35 M_{J}={\frac M_{J}={\frac NNP en-wikipedia-org-6541 21 36 { { -LRB- en-wikipedia-org-6541 21 37 1}{2 1}{2 NNP en-wikipedia-org-6541 21 38 } } -RRB- en-wikipedia-org-6541 21 39 } } -RRB- en-wikipedia-org-6541 21 40 } } -RRB- en-wikipedia-org-6541 21 41 state state NN en-wikipedia-org-6541 21 42 at at IN en-wikipedia-org-6541 21 43 z=0 z=0 NNS en-wikipedia-org-6541 21 44 with with IN en-wikipedia-org-6541 21 45 velocity velocity NN en-wikipedia-org-6541 21 46 in in IN en-wikipedia-org-6541 21 47 the the DT en-wikipedia-org-6541 21 48 + + SYM en-wikipedia-org-6541 21 49 z z NN en-wikipedia-org-6541 21 50 direction direction NN en-wikipedia-org-6541 21 51 . . . en-wikipedia-org-6541 22 1 The the DT en-wikipedia-org-6541 22 2 atom atom NN en-wikipedia-org-6541 22 3 is be VBZ en-wikipedia-org-6541 22 4 now now RB en-wikipedia-org-6541 22 5 pumped pump VBN en-wikipedia-org-6541 22 6 to to IN en-wikipedia-org-6541 22 7 the the DT en-wikipedia-org-6541 22 8 M M NNP en-wikipedia-org-6541 22 9 J J NNP en-wikipedia-org-6541 22 10 ′ ′ NNP en-wikipedia-org-6541 22 11 = = SYM en-wikipedia-org-6541 22 12 − − NNP en-wikipedia-org-6541 22 13 1 1 CD en-wikipedia-org-6541 22 14 2 2 CD en-wikipedia-org-6541 22 15 { { -LRB- en-wikipedia-org-6541 22 16 \textstyle \textstyle CD en-wikipedia-org-6541 22 17 M_{J'}=-{\frac M_{J'}=-{\frac NNP en-wikipedia-org-6541 22 18 { { -LRB- en-wikipedia-org-6541 22 19 1}{2 1}{2 NNP en-wikipedia-org-6541 22 20 } } -RRB- en-wikipedia-org-6541 22 21 } } -RRB- en-wikipedia-org-6541 22 22 } } -RRB- en-wikipedia-org-6541 22 23 excited excite VBN en-wikipedia-org-6541 22 24 state state NN en-wikipedia-org-6541 22 25 , , , en-wikipedia-org-6541 22 26 where where WRB en-wikipedia-org-6541 22 27 it -PRON- PRP en-wikipedia-org-6541 22 28 spontaneously spontaneously RB en-wikipedia-org-6541 22 29 emits emit VBZ en-wikipedia-org-6541 22 30 a a DT en-wikipedia-org-6541 22 31 photon photon NN en-wikipedia-org-6541 22 32 and and CC en-wikipedia-org-6541 22 33 decays decay NNS en-wikipedia-org-6541 22 34 to to IN en-wikipedia-org-6541 22 35 the the DT en-wikipedia-org-6541 22 36 M M NNP en-wikipedia-org-6541 22 37 J J NNP en-wikipedia-org-6541 22 38 = = SYM en-wikipedia-org-6541 22 39 − − NNP en-wikipedia-org-6541 22 40 1 1 CD en-wikipedia-org-6541 22 41 2 2 CD en-wikipedia-org-6541 22 42 { { -LRB- en-wikipedia-org-6541 22 43 \textstyle \textstyle CD en-wikipedia-org-6541 22 44 M_{J}=-{\frac M_{J}=-{\frac NNS en-wikipedia-org-6541 22 45 { { -LRB- en-wikipedia-org-6541 22 46 1}{2 1}{2 NNP en-wikipedia-org-6541 22 47 } } -RRB- en-wikipedia-org-6541 22 48 } } -RRB- en-wikipedia-org-6541 22 49 } } -RRB- en-wikipedia-org-6541 22 50 ground ground NN en-wikipedia-org-6541 22 51 state state NN en-wikipedia-org-6541 22 52 . . . en-wikipedia-org-6541 23 1 The the DT en-wikipedia-org-6541 23 2 key key JJ en-wikipedia-org-6541 23 3 concept concept NN en-wikipedia-org-6541 23 4 is be VBZ en-wikipedia-org-6541 23 5 that that IN en-wikipedia-org-6541 23 6 in in IN en-wikipedia-org-6541 23 7 the the DT en-wikipedia-org-6541 23 8 presence presence NN en-wikipedia-org-6541 23 9 of of IN en-wikipedia-org-6541 23 10 σ σ NNP en-wikipedia-org-6541 23 11 − − NNP en-wikipedia-org-6541 23 12 { { -LRB- en-wikipedia-org-6541 23 13 \textstyle \textstyle CD en-wikipedia-org-6541 23 14 \sigma \sigma CD en-wikipedia-org-6541 23 15 - - HYPH en-wikipedia-org-6541 23 16 } } -RRB- en-wikipedia-org-6541 23 17 light light NN en-wikipedia-org-6541 23 18 , , , en-wikipedia-org-6541 23 19 the the DT en-wikipedia-org-6541 23 20 AC AC NNP en-wikipedia-org-6541 23 21 stark stark JJ en-wikipedia-org-6541 23 22 shift shift NN en-wikipedia-org-6541 23 23 lowers lower VBZ en-wikipedia-org-6541 23 24 the the DT en-wikipedia-org-6541 23 25 M M NNP en-wikipedia-org-6541 23 26 J J NNP en-wikipedia-org-6541 23 27 = = SYM en-wikipedia-org-6541 23 28 − − NNP en-wikipedia-org-6541 23 29 1 1 CD en-wikipedia-org-6541 23 30 2 2 CD en-wikipedia-org-6541 23 31 { { -LRB- en-wikipedia-org-6541 23 32 \textstyle \textstyle CD en-wikipedia-org-6541 23 33 M_{J}=-{\frac M_{J}=-{\frac NNS en-wikipedia-org-6541 23 34 { { -LRB- en-wikipedia-org-6541 23 35 1}{2 1}{2 NNP en-wikipedia-org-6541 23 36 } } -RRB- en-wikipedia-org-6541 23 37 } } -RRB- en-wikipedia-org-6541 23 38 } } -RRB- en-wikipedia-org-6541 23 39 further far RBR en-wikipedia-org-6541 23 40 in in IN en-wikipedia-org-6541 23 41 energy energy NN en-wikipedia-org-6541 23 42 than than IN en-wikipedia-org-6541 23 43 the the DT en-wikipedia-org-6541 23 44 M M NNP en-wikipedia-org-6541 23 45 J J NNP en-wikipedia-org-6541 23 46 = = NN en-wikipedia-org-6541 23 47 + + CC en-wikipedia-org-6541 23 48 1 1 CD en-wikipedia-org-6541 23 49 2 2 CD en-wikipedia-org-6541 23 50 { { -LRB- en-wikipedia-org-6541 23 51 \textstyle \textstyle CD en-wikipedia-org-6541 23 52 M_{J}=+{\frac M_{J}=+{\frac . en-wikipedia-org-6541 23 53 { { -LRB- en-wikipedia-org-6541 23 54 1}{2 1}{2 NNP en-wikipedia-org-6541 23 55 } } -RRB- en-wikipedia-org-6541 23 56 } } -RRB- en-wikipedia-org-6541 23 57 } } -RRB- en-wikipedia-org-6541 23 58 state state NN en-wikipedia-org-6541 23 59 . . . en-wikipedia-org-6541 24 1 In in IN en-wikipedia-org-6541 24 2 going go VBG en-wikipedia-org-6541 24 3 from from IN en-wikipedia-org-6541 24 4 the the DT en-wikipedia-org-6541 24 5 M M NNP en-wikipedia-org-6541 24 6 J J NNP en-wikipedia-org-6541 24 7 = = NN en-wikipedia-org-6541 24 8 + + CC en-wikipedia-org-6541 24 9 1 1 CD en-wikipedia-org-6541 24 10 2 2 CD en-wikipedia-org-6541 24 11 { { -LRB- en-wikipedia-org-6541 24 12 \textstyle \textstyle CD en-wikipedia-org-6541 24 13 M_{J}=+{\frac M_{J}=+{\frac . en-wikipedia-org-6541 24 14 { { -LRB- en-wikipedia-org-6541 24 15 1}{2 1}{2 NNP en-wikipedia-org-6541 24 16 } } -RRB- en-wikipedia-org-6541 24 17 } } -RRB- en-wikipedia-org-6541 24 18 } } -RRB- en-wikipedia-org-6541 24 19 to to IN en-wikipedia-org-6541 24 20 the the DT en-wikipedia-org-6541 24 21 M M NNP en-wikipedia-org-6541 24 22 J J NNP en-wikipedia-org-6541 24 23 = = SYM en-wikipedia-org-6541 24 24 − − NNP en-wikipedia-org-6541 24 25 1 1 CD en-wikipedia-org-6541 24 26 2 2 CD en-wikipedia-org-6541 24 27 { { -LRB- en-wikipedia-org-6541 24 28 \textstyle \textstyle CD en-wikipedia-org-6541 24 29 M_{J}=-{\frac M_{J}=-{\frac NNS en-wikipedia-org-6541 24 30 { { -LRB- en-wikipedia-org-6541 24 31 1}{2 1}{2 NNP en-wikipedia-org-6541 24 32 } } -RRB- en-wikipedia-org-6541 24 33 } } -RRB- en-wikipedia-org-6541 24 34 } } -RRB- en-wikipedia-org-6541 24 35 state state NN en-wikipedia-org-6541 24 36 via via IN en-wikipedia-org-6541 24 37 the the DT en-wikipedia-org-6541 24 38 , , , en-wikipedia-org-6541 24 39 the the DT en-wikipedia-org-6541 24 40 atom atom NN en-wikipedia-org-6541 24 41 has have VBZ en-wikipedia-org-6541 24 42 indeed indeed RB en-wikipedia-org-6541 24 43 lost lose VBN en-wikipedia-org-6541 24 44 U u NN en-wikipedia-org-6541 24 45 0 0 CD en-wikipedia-org-6541 24 46 { { -LRB- en-wikipedia-org-6541 24 47 \textstyle \textstyle CD en-wikipedia-org-6541 24 48 U_{0 U_{0 NNP en-wikipedia-org-6541 24 49 } } -RRB- en-wikipedia-org-6541 24 50 } } -RRB- en-wikipedia-org-6541 24 51 in in IN en-wikipedia-org-6541 24 52 energy energy NN en-wikipedia-org-6541 24 53 , , , en-wikipedia-org-6541 24 54 where where WRB en-wikipedia-org-6541 24 55 U u NN en-wikipedia-org-6541 24 56 0 0 CD en-wikipedia-org-6541 24 57 = = SYM en-wikipedia-org-6541 24 58 E e NN en-wikipedia-org-6541 24 59 M M NNP en-wikipedia-org-6541 24 60 J J NNP en-wikipedia-org-6541 24 61 = = NN en-wikipedia-org-6541 24 62 + + CC en-wikipedia-org-6541 24 63 1 1 CD en-wikipedia-org-6541 24 64 2 2 CD en-wikipedia-org-6541 24 65 − − NNP en-wikipedia-org-6541 24 66 E E NNP en-wikipedia-org-6541 24 67 M M NNP en-wikipedia-org-6541 24 68 J J NNP en-wikipedia-org-6541 24 69 = = SYM en-wikipedia-org-6541 24 70 − − NNP en-wikipedia-org-6541 24 71 1 1 CD en-wikipedia-org-6541 24 72 2 2 CD en-wikipedia-org-6541 24 73 { { -LRB- en-wikipedia-org-6541 24 74 \displaystyle \displaystyle CD en-wikipedia-org-6541 24 75 U_{0}=E_{M_{J}=+{\frac u_{0}=e_{m_{j}=+{\frac NN en-wikipedia-org-6541 24 76 { { -LRB- en-wikipedia-org-6541 24 77 1}{2}}}-E_{M_{J}=-{\frac 1}{2}}}-E_{M_{J}=-{\frac NNS en-wikipedia-org-6541 24 78 { { -LRB- en-wikipedia-org-6541 24 79 1}{2 1}{2 NNP en-wikipedia-org-6541 24 80 } } -RRB- en-wikipedia-org-6541 24 81 } } -RRB- en-wikipedia-org-6541 24 82 } } -RRB- en-wikipedia-org-6541 24 83 } } -RRB- en-wikipedia-org-6541 24 84 approximately approximately RB en-wikipedia-org-6541 24 85 equal equal JJ en-wikipedia-org-6541 24 86 to to IN en-wikipedia-org-6541 24 87 the the DT en-wikipedia-org-6541 24 88 AC AC NNP en-wikipedia-org-6541 24 89 Stark Stark NNP en-wikipedia-org-6541 24 90 shift shift NN en-wikipedia-org-6541 24 91 U U NNP en-wikipedia-org-6541 24 92 0 0 CD en-wikipedia-org-6541 24 93 ≃ ≃ NNS en-wikipedia-org-6541 24 94 ℏ ℏ NN en-wikipedia-org-6541 24 95 Ω Ω NNP en-wikipedia-org-6541 24 96 2 2 CD en-wikipedia-org-6541 24 97 4 4 CD en-wikipedia-org-6541 24 98 δ δ NN en-wikipedia-org-6541 24 99 { { -LRB- en-wikipedia-org-6541 24 100 \displaystyle \displaystyle CD en-wikipedia-org-6541 24 101 U_{0}\simeq U_{0}\simeq NNP en-wikipedia-org-6541 24 102 { { -LRB- en-wikipedia-org-6541 24 103 \frac \frac CD en-wikipedia-org-6541 24 104 { { -LRB- en-wikipedia-org-6541 24 105 \hbar \hbar NNP en-wikipedia-org-6541 24 106 \Omega \Omega NNP en-wikipedia-org-6541 24 107 ^{2}}{4\delta ^{2}}{4\delta NN en-wikipedia-org-6541 24 108 } } -RRB- en-wikipedia-org-6541 24 109 } } -RRB- en-wikipedia-org-6541 24 110 } } -RRB- en-wikipedia-org-6541 24 111 where where WRB en-wikipedia-org-6541 24 112 omega omega NN en-wikipedia-org-6541 24 113 is be VBZ en-wikipedia-org-6541 24 114 the the DT en-wikipedia-org-6541 24 115 Rabi Rabi NNP en-wikipedia-org-6541 24 116 frequency frequency NN en-wikipedia-org-6541 24 117 and and CC en-wikipedia-org-6541 24 118 delta delta NN en-wikipedia-org-6541 24 119 is be VBZ en-wikipedia-org-6541 24 120 the the DT en-wikipedia-org-6541 24 121 detuning detuning NN en-wikipedia-org-6541 24 122 . . . en-wikipedia-org-6541 25 1 At at IN en-wikipedia-org-6541 25 2 this this DT en-wikipedia-org-6541 25 3 point point NN en-wikipedia-org-6541 25 4 , , , en-wikipedia-org-6541 25 5 the the DT en-wikipedia-org-6541 25 6 atom atom NN en-wikipedia-org-6541 25 7 is be VBZ en-wikipedia-org-6541 25 8 moving move VBG en-wikipedia-org-6541 25 9 in in IN en-wikipedia-org-6541 25 10 the the DT en-wikipedia-org-6541 25 11 + + SYM en-wikipedia-org-6541 25 12 z z NN en-wikipedia-org-6541 25 13 direction direction NN en-wikipedia-org-6541 25 14 with with IN en-wikipedia-org-6541 25 15 some some DT en-wikipedia-org-6541 25 16 velocity velocity NN en-wikipedia-org-6541 25 17 , , , en-wikipedia-org-6541 25 18 and and CC en-wikipedia-org-6541 25 19 eventually eventually RB en-wikipedia-org-6541 25 20 moves move VBZ en-wikipedia-org-6541 25 21 into into IN en-wikipedia-org-6541 25 22 a a DT en-wikipedia-org-6541 25 23 region region NN en-wikipedia-org-6541 25 24 with with IN en-wikipedia-org-6541 25 25 σ σ NN en-wikipedia-org-6541 25 26 + + CC en-wikipedia-org-6541 25 27 { { -LRB- en-wikipedia-org-6541 25 28 \textstyle \textstyle CD en-wikipedia-org-6541 25 29 \sigma \sigma CD en-wikipedia-org-6541 25 30 + + CC en-wikipedia-org-6541 25 31 } } -RRB- en-wikipedia-org-6541 25 32 light light NN en-wikipedia-org-6541 25 33 . . . en-wikipedia-org-6541 26 1 The the DT en-wikipedia-org-6541 26 2 atom atom NN en-wikipedia-org-6541 26 3 , , , en-wikipedia-org-6541 26 4 still still RB en-wikipedia-org-6541 26 5 in in IN en-wikipedia-org-6541 26 6 its -PRON- PRP$ en-wikipedia-org-6541 26 7 M M NNP en-wikipedia-org-6541 26 8 J J NNP en-wikipedia-org-6541 26 9 = = SYM en-wikipedia-org-6541 26 10 − − NNP en-wikipedia-org-6541 26 11 1 1 CD en-wikipedia-org-6541 26 12 2 2 CD en-wikipedia-org-6541 26 13 { { -LRB- en-wikipedia-org-6541 26 14 \textstyle \textstyle CD en-wikipedia-org-6541 26 15 M_{J}=-{\frac M_{J}=-{\frac NNS en-wikipedia-org-6541 26 16 { { -LRB- en-wikipedia-org-6541 26 17 1}{2 1}{2 NNP en-wikipedia-org-6541 26 18 } } -RRB- en-wikipedia-org-6541 26 19 } } -RRB- en-wikipedia-org-6541 26 20 } } -RRB- en-wikipedia-org-6541 26 21 state state NN en-wikipedia-org-6541 26 22 that that IN en-wikipedia-org-6541 26 23 it -PRON- PRP en-wikipedia-org-6541 26 24 was be VBD en-wikipedia-org-6541 26 25 pumped pump VBN en-wikipedia-org-6541 26 26 into into IN en-wikipedia-org-6541 26 27 , , , en-wikipedia-org-6541 26 28 now now RB en-wikipedia-org-6541 26 29 experiences experience VBZ en-wikipedia-org-6541 26 30 the the DT en-wikipedia-org-6541 26 31 opposite opposite JJ en-wikipedia-org-6541 26 32 AC AC NNP en-wikipedia-org-6541 26 33 Stark Stark NNP en-wikipedia-org-6541 26 34 shift shift NN en-wikipedia-org-6541 26 35 as as IN en-wikipedia-org-6541 26 36 it -PRON- PRP en-wikipedia-org-6541 26 37 did do VBD en-wikipedia-org-6541 26 38 in in IN en-wikipedia-org-6541 26 39 σ σ NN en-wikipedia-org-6541 26 40 { { -LRB- en-wikipedia-org-6541 26 41 \textstyle \textstyle CD en-wikipedia-org-6541 26 42 \sigma \sigma CD en-wikipedia-org-6541 26 43 } } -RRB- en-wikipedia-org-6541 26 44 - - HYPH en-wikipedia-org-6541 26 45 light light NN en-wikipedia-org-6541 26 46 , , , en-wikipedia-org-6541 26 47 and and CC en-wikipedia-org-6541 26 48 the the DT en-wikipedia-org-6541 26 49 M M NNP en-wikipedia-org-6541 26 50 J J NNP en-wikipedia-org-6541 26 51 = = SYM en-wikipedia-org-6541 26 52 1 1 CD en-wikipedia-org-6541 26 53 2 2 CD en-wikipedia-org-6541 26 54 { { -LRB- en-wikipedia-org-6541 26 55 \textstyle \textstyle CD en-wikipedia-org-6541 26 56 M_{J}={\frac M_{J}={\frac NNP en-wikipedia-org-6541 26 57 { { -LRB- en-wikipedia-org-6541 26 58 1}{2 1}{2 NNP en-wikipedia-org-6541 26 59 } } -RRB- en-wikipedia-org-6541 26 60 } } -RRB- en-wikipedia-org-6541 26 61 } } -RRB- en-wikipedia-org-6541 26 62 state state NN en-wikipedia-org-6541 26 63 is be VBZ en-wikipedia-org-6541 26 64 now now RB en-wikipedia-org-6541 26 65 lower low JJR en-wikipedia-org-6541 26 66 in in IN en-wikipedia-org-6541 26 67 energy energy NN en-wikipedia-org-6541 26 68 than than IN en-wikipedia-org-6541 26 69 the the DT en-wikipedia-org-6541 26 70 M M NNP en-wikipedia-org-6541 26 71 J J NNP en-wikipedia-org-6541 26 72 = = SYM en-wikipedia-org-6541 26 73 − − NNP en-wikipedia-org-6541 26 74 1 1 CD en-wikipedia-org-6541 26 75 2 2 CD en-wikipedia-org-6541 26 76 { { -LRB- en-wikipedia-org-6541 26 77 \textstyle \textstyle CD en-wikipedia-org-6541 26 78 M_{J}=-{\frac M_{J}=-{\frac NNS en-wikipedia-org-6541 26 79 { { -LRB- en-wikipedia-org-6541 26 80 1}{2 1}{2 NNP en-wikipedia-org-6541 26 81 } } -RRB- en-wikipedia-org-6541 26 82 } } -RRB- en-wikipedia-org-6541 26 83 } } -RRB- en-wikipedia-org-6541 26 84 state state NN en-wikipedia-org-6541 26 85 . . . en-wikipedia-org-6541 27 1 The the DT en-wikipedia-org-6541 27 2 atom atom NN en-wikipedia-org-6541 27 3 is be VBZ en-wikipedia-org-6541 27 4 pumped pump VBN en-wikipedia-org-6541 27 5 to to IN en-wikipedia-org-6541 27 6 the the DT en-wikipedia-org-6541 27 7 M M NNP en-wikipedia-org-6541 27 8 J J NNP en-wikipedia-org-6541 27 9 ′ ′ NNP en-wikipedia-org-6541 27 10 = = SYM en-wikipedia-org-6541 27 11 1 1 CD en-wikipedia-org-6541 27 12 2 2 CD en-wikipedia-org-6541 27 13 { { -LRB- en-wikipedia-org-6541 27 14 \textstyle \textstyle CD en-wikipedia-org-6541 27 15 M_{J'}={\frac m_{j'}={\frac NN en-wikipedia-org-6541 27 16 { { -LRB- en-wikipedia-org-6541 27 17 1}{2 1}{2 NNP en-wikipedia-org-6541 27 18 } } -RRB- en-wikipedia-org-6541 27 19 } } -RRB- en-wikipedia-org-6541 27 20 } } -RRB- en-wikipedia-org-6541 27 21 excited excite VBN en-wikipedia-org-6541 27 22 state state NN en-wikipedia-org-6541 27 23 , , , en-wikipedia-org-6541 27 24 where where WRB en-wikipedia-org-6541 27 25 it -PRON- PRP en-wikipedia-org-6541 27 26 spontaneously spontaneously RB en-wikipedia-org-6541 27 27 emits emit VBZ en-wikipedia-org-6541 27 28 a a DT en-wikipedia-org-6541 27 29 photon photon NN en-wikipedia-org-6541 27 30 and and CC en-wikipedia-org-6541 27 31 decays decay NNS en-wikipedia-org-6541 27 32 to to IN en-wikipedia-org-6541 27 33 the the DT en-wikipedia-org-6541 27 34 M M NNP en-wikipedia-org-6541 27 35 J J NNP en-wikipedia-org-6541 27 36 = = NN en-wikipedia-org-6541 27 37 + + CC en-wikipedia-org-6541 27 38 1 1 CD en-wikipedia-org-6541 27 39 2 2 CD en-wikipedia-org-6541 27 40 { { -LRB- en-wikipedia-org-6541 27 41 \textstyle \textstyle CD en-wikipedia-org-6541 27 42 M_{J}=+{\frac M_{J}=+{\frac . en-wikipedia-org-6541 27 43 { { -LRB- en-wikipedia-org-6541 27 44 1}{2 1}{2 NNP en-wikipedia-org-6541 27 45 } } -RRB- en-wikipedia-org-6541 27 46 } } -RRB- en-wikipedia-org-6541 27 47 } } -RRB- en-wikipedia-org-6541 27 48 state state NN en-wikipedia-org-6541 27 49 . . . en-wikipedia-org-6541 28 1 As as IN en-wikipedia-org-6541 28 2 before before RB en-wikipedia-org-6541 28 3 , , , en-wikipedia-org-6541 28 4 this this DT en-wikipedia-org-6541 28 5 energy energy NN en-wikipedia-org-6541 28 6 level level NN en-wikipedia-org-6541 28 7 has have VBZ en-wikipedia-org-6541 28 8 been be VBN en-wikipedia-org-6541 28 9 lowered lower VBN en-wikipedia-org-6541 28 10 by by IN en-wikipedia-org-6541 28 11 the the DT en-wikipedia-org-6541 28 12 AC AC NNP en-wikipedia-org-6541 28 13 Stark Stark NNP en-wikipedia-org-6541 28 14 shift shift NN en-wikipedia-org-6541 28 15 , , , en-wikipedia-org-6541 28 16 and and CC en-wikipedia-org-6541 28 17 the the DT en-wikipedia-org-6541 28 18 atom atom NN en-wikipedia-org-6541 28 19 loses lose VBZ en-wikipedia-org-6541 28 20 another another DT en-wikipedia-org-6541 28 21 U u NN en-wikipedia-org-6541 28 22 0 0 CD en-wikipedia-org-6541 28 23 { { -LRB- en-wikipedia-org-6541 28 24 \textstyle \textstyle CD en-wikipedia-org-6541 28 25 U_{0 U_{0 NNP en-wikipedia-org-6541 28 26 } } -RRB- en-wikipedia-org-6541 28 27 } } -RRB- en-wikipedia-org-6541 28 28 of of IN en-wikipedia-org-6541 28 29 energy energy NN en-wikipedia-org-6541 28 30 . . . en-wikipedia-org-6541 29 1 Repeated repeat VBN en-wikipedia-org-6541 29 2 cycles cycle NNS en-wikipedia-org-6541 29 3 of of IN en-wikipedia-org-6541 29 4 this this DT en-wikipedia-org-6541 29 5 nature nature NN en-wikipedia-org-6541 29 6 convert convert VBP en-wikipedia-org-6541 29 7 kinetic kinetic JJ en-wikipedia-org-6541 29 8 energy energy NN en-wikipedia-org-6541 29 9 to to IN en-wikipedia-org-6541 29 10 potential potential JJ en-wikipedia-org-6541 29 11 energy energy NN en-wikipedia-org-6541 29 12 , , , en-wikipedia-org-6541 29 13 and and CC en-wikipedia-org-6541 29 14 this this DT en-wikipedia-org-6541 29 15 potential potential JJ en-wikipedia-org-6541 29 16 energy energy NN en-wikipedia-org-6541 29 17 is be VBZ en-wikipedia-org-6541 29 18 lost lose VBN en-wikipedia-org-6541 29 19 via via IN en-wikipedia-org-6541 29 20 the the DT en-wikipedia-org-6541 29 21 photon photon NN en-wikipedia-org-6541 29 22 emitted emit VBD en-wikipedia-org-6541 29 23 during during IN en-wikipedia-org-6541 29 24 optical optical JJ en-wikipedia-org-6541 29 25 pumping pumping NN en-wikipedia-org-6541 29 26 . . . en-wikipedia-org-6541 30 1 Limits[edit Limits[edit `` en-wikipedia-org-6541 30 2 ] ] -RRB- en-wikipedia-org-6541 30 3 The the DT en-wikipedia-org-6541 30 4 fundamental fundamental JJ en-wikipedia-org-6541 30 5 lower low JJR en-wikipedia-org-6541 30 6 limit limit NN en-wikipedia-org-6541 30 7 of of IN en-wikipedia-org-6541 30 8 Sisyphus Sisyphus NNP en-wikipedia-org-6541 30 9 cooling cool VBG en-wikipedia-org-6541 30 10 is be VBZ en-wikipedia-org-6541 30 11 the the DT en-wikipedia-org-6541 30 12 recoil recoil NN en-wikipedia-org-6541 30 13 temperature temperature NN en-wikipedia-org-6541 30 14 , , , en-wikipedia-org-6541 30 15 T t NN en-wikipedia-org-6541 30 16 r r NN en-wikipedia-org-6541 30 17 { { -LRB- en-wikipedia-org-6541 30 18 \textstyle \textstyle CD en-wikipedia-org-6541 30 19 T_{r T_{r NNP en-wikipedia-org-6541 30 20 } } -RRB- en-wikipedia-org-6541 30 21 } } -RRB- en-wikipedia-org-6541 30 22 , , , en-wikipedia-org-6541 30 23 set set VBN en-wikipedia-org-6541 30 24 by by IN en-wikipedia-org-6541 30 25 the the DT en-wikipedia-org-6541 30 26 energy energy NN en-wikipedia-org-6541 30 27 of of IN en-wikipedia-org-6541 30 28 the the DT en-wikipedia-org-6541 30 29 photon photon NN en-wikipedia-org-6541 30 30 emitted emit VBD en-wikipedia-org-6541 30 31 in in IN en-wikipedia-org-6541 30 32 the the DT en-wikipedia-org-6541 30 33 decay decay NN en-wikipedia-org-6541 30 34 from from IN en-wikipedia-org-6541 30 35 the the DT en-wikipedia-org-6541 30 36 J J NNP en-wikipedia-org-6541 30 37 ' ' '' en-wikipedia-org-6541 30 38 to to IN en-wikipedia-org-6541 30 39 J J NNP en-wikipedia-org-6541 30 40 state state NN en-wikipedia-org-6541 30 41 . . . en-wikipedia-org-6541 31 1 This this DT en-wikipedia-org-6541 31 2 limit limit NN en-wikipedia-org-6541 31 3 is be VBZ en-wikipedia-org-6541 31 4 k k NNP en-wikipedia-org-6541 31 5 b b NNP en-wikipedia-org-6541 31 6 T T NNP en-wikipedia-org-6541 31 7 r r NN en-wikipedia-org-6541 31 8 = = SYM en-wikipedia-org-6541 31 9 h h NN en-wikipedia-org-6541 31 10 M m NN en-wikipedia-org-6541 31 11 λ λ NN en-wikipedia-org-6541 31 12 2 2 CD en-wikipedia-org-6541 31 13 { { -LRB- en-wikipedia-org-6541 31 14 \displaystyle \displaystyle CD en-wikipedia-org-6541 31 15 k_{b}T_{r}={\frac k_{b}t_{r}={\frac NN en-wikipedia-org-6541 31 16 { { -LRB- en-wikipedia-org-6541 31 17 h}{M\lambda h}{m\lambda UH en-wikipedia-org-6541 31 18 ^{2 ^{2 NFP en-wikipedia-org-6541 31 19 } } -RRB- en-wikipedia-org-6541 31 20 } } -RRB- en-wikipedia-org-6541 31 21 } } -RRB- en-wikipedia-org-6541 31 22 } } -RRB- en-wikipedia-org-6541 31 23 though though IN en-wikipedia-org-6541 31 24 practically practically RB en-wikipedia-org-6541 31 25 the the DT en-wikipedia-org-6541 31 26 limit limit NN en-wikipedia-org-6541 31 27 is be VBZ en-wikipedia-org-6541 31 28 a a DT en-wikipedia-org-6541 31 29 few few JJ en-wikipedia-org-6541 31 30 times time NNS en-wikipedia-org-6541 31 31 this this DT en-wikipedia-org-6541 31 32 value value NN en-wikipedia-org-6541 31 33 because because IN en-wikipedia-org-6541 31 34 of of IN en-wikipedia-org-6541 31 35 the the DT en-wikipedia-org-6541 31 36 extreme extreme JJ en-wikipedia-org-6541 31 37 sensitivity sensitivity NN en-wikipedia-org-6541 31 38 to to IN en-wikipedia-org-6541 31 39 external external JJ en-wikipedia-org-6541 31 40 magnetic magnetic JJ en-wikipedia-org-6541 31 41 fields field NNS en-wikipedia-org-6541 31 42 in in IN en-wikipedia-org-6541 31 43 this this DT en-wikipedia-org-6541 31 44 cooling cool VBG en-wikipedia-org-6541 31 45 scheme scheme NN en-wikipedia-org-6541 31 46 . . . en-wikipedia-org-6541 32 1 Atoms atom NNS en-wikipedia-org-6541 32 2 typically typically RB en-wikipedia-org-6541 32 3 reach reach VBP en-wikipedia-org-6541 32 4 temperatures temperature NNS en-wikipedia-org-6541 32 5 on on IN en-wikipedia-org-6541 32 6 the the DT en-wikipedia-org-6541 32 7 order order NN en-wikipedia-org-6541 32 8 of of IN en-wikipedia-org-6541 32 9 μ μ NN en-wikipedia-org-6541 32 10 K k NN en-wikipedia-org-6541 32 11 { { -LRB- en-wikipedia-org-6541 32 12 \textstyle \textstyle CD en-wikipedia-org-6541 32 13 \mu \mu JJ en-wikipedia-org-6541 32 14 K k NN en-wikipedia-org-6541 32 15 } } -RRB- en-wikipedia-org-6541 32 16 , , , en-wikipedia-org-6541 32 17 as as IN en-wikipedia-org-6541 32 18 compared compare VBN en-wikipedia-org-6541 32 19 to to IN en-wikipedia-org-6541 32 20 the the DT en-wikipedia-org-6541 32 21 doppler doppler NN en-wikipedia-org-6541 32 22 limit limit NN en-wikipedia-org-6541 32 23 T T NNP en-wikipedia-org-6541 32 24 D d NN en-wikipedia-org-6541 32 25 ≃ ≃ CD en-wikipedia-org-6541 32 26 250 250 CD en-wikipedia-org-6541 32 27 μ μ NN en-wikipedia-org-6541 32 28 K k NN en-wikipedia-org-6541 32 29 { { -LRB- en-wikipedia-org-6541 32 30 \textstyle \textstyle CD en-wikipedia-org-6541 32 31 T_{D}\simeq t_{d}\simeq CD en-wikipedia-org-6541 32 32 250\mu 250\mu CD en-wikipedia-org-6541 32 33 K k NN en-wikipedia-org-6541 32 34 } } -RRB- en-wikipedia-org-6541 32 35 . . . en-wikipedia-org-6541 33 1 References[edit references[edit LS en-wikipedia-org-6541 33 2 ] ] -RRB- en-wikipedia-org-6541 33 3 ^ ^ NN en-wikipedia-org-6541 33 4 Dalibard Dalibard NNP en-wikipedia-org-6541 33 5 , , , en-wikipedia-org-6541 33 6 J. J. NNP en-wikipedia-org-6541 33 7 ; ; : en-wikipedia-org-6541 33 8 Cohen Cohen NNP en-wikipedia-org-6541 33 9 - - HYPH en-wikipedia-org-6541 33 10 Tannoudji Tannoudji NNP en-wikipedia-org-6541 33 11 , , , en-wikipedia-org-6541 33 12 C. C. NNP en-wikipedia-org-6541 33 13 ( ( -LRB- en-wikipedia-org-6541 33 14 1989 1989 CD en-wikipedia-org-6541 33 15 ) ) -RRB- en-wikipedia-org-6541 33 16 . . . en-wikipedia-org-6541 34 1 " " `` en-wikipedia-org-6541 34 2 Laser laser NN en-wikipedia-org-6541 34 3 cooling cool VBG en-wikipedia-org-6541 34 4 below below IN en-wikipedia-org-6541 34 5 the the DT en-wikipedia-org-6541 34 6 Doppler Doppler NNP en-wikipedia-org-6541 34 7 limit limit NN en-wikipedia-org-6541 34 8 by by IN en-wikipedia-org-6541 34 9 polarization polarization NN en-wikipedia-org-6541 34 10 gradients gradient NNS en-wikipedia-org-6541 34 11 : : : en-wikipedia-org-6541 34 12 simple simple JJ en-wikipedia-org-6541 34 13 theoretical theoretical JJ en-wikipedia-org-6541 34 14 models model NNS en-wikipedia-org-6541 34 15 " " '' en-wikipedia-org-6541 34 16 . . . en-wikipedia-org-6541 35 1 Journal Journal NNP en-wikipedia-org-6541 35 2 of of IN en-wikipedia-org-6541 35 3 the the DT en-wikipedia-org-6541 35 4 Optical Optical NNP en-wikipedia-org-6541 35 5 Society Society NNP en-wikipedia-org-6541 35 6 of of IN en-wikipedia-org-6541 35 7 America America NNP en-wikipedia-org-6541 35 8 B. B. NNP en-wikipedia-org-6541 36 1 6 6 CD en-wikipedia-org-6541 36 2 ( ( -LRB- en-wikipedia-org-6541 36 3 11 11 CD en-wikipedia-org-6541 36 4 ) ) -RRB- en-wikipedia-org-6541 36 5 : : : en-wikipedia-org-6541 36 6 2023 2023 CD en-wikipedia-org-6541 36 7 . . . en-wikipedia-org-6541 36 8 doi:10.1364 doi:10.1364 NNP en-wikipedia-org-6541 36 9 / / SYM en-wikipedia-org-6541 36 10 josab.6.002023 josab.6.002023 NNP en-wikipedia-org-6541 36 11 . . . en-wikipedia-org-6541 37 1 ^ ^ NNP en-wikipedia-org-6541 37 2 Lett Lett NNP en-wikipedia-org-6541 37 3 , , , en-wikipedia-org-6541 37 4 Paul Paul NNP en-wikipedia-org-6541 37 5 D. D. NNP en-wikipedia-org-6541 37 6 ; ; : en-wikipedia-org-6541 37 7 Watts Watts NNP en-wikipedia-org-6541 37 8 , , , en-wikipedia-org-6541 37 9 Richard Richard NNP en-wikipedia-org-6541 37 10 N. N. NNP en-wikipedia-org-6541 37 11 ; ; : en-wikipedia-org-6541 37 12 Westbrook Westbrook NNP en-wikipedia-org-6541 37 13 , , , en-wikipedia-org-6541 37 14 Christoph Christoph NNP en-wikipedia-org-6541 37 15 I. i. NN en-wikipedia-org-6541 37 16 ; ; : en-wikipedia-org-6541 37 17 Phillips Phillips NNP en-wikipedia-org-6541 37 18 , , , en-wikipedia-org-6541 37 19 William William NNP en-wikipedia-org-6541 37 20 D. D. NNP en-wikipedia-org-6541 37 21 ; ; : en-wikipedia-org-6541 37 22 Gould Gould NNP en-wikipedia-org-6541 37 23 , , , en-wikipedia-org-6541 37 24 Phillip Phillip NNP en-wikipedia-org-6541 37 25 L. L. NNP en-wikipedia-org-6541 37 26 ; ; : en-wikipedia-org-6541 37 27 Metcalf Metcalf NNP en-wikipedia-org-6541 37 28 , , , en-wikipedia-org-6541 37 29 Harold Harold NNP en-wikipedia-org-6541 37 30 J. J. NNP en-wikipedia-org-6541 38 1 ( ( -LRB- en-wikipedia-org-6541 38 2 1988 1988 CD en-wikipedia-org-6541 38 3 ) ) -RRB- en-wikipedia-org-6541 38 4 . . . en-wikipedia-org-6541 39 1 " " `` en-wikipedia-org-6541 39 2 Observation observation NN en-wikipedia-org-6541 39 3 of of IN en-wikipedia-org-6541 39 4 atoms atom NNS en-wikipedia-org-6541 39 5 laser laser NN en-wikipedia-org-6541 39 6 cooled cool VBD en-wikipedia-org-6541 39 7 below below IN en-wikipedia-org-6541 39 8 the the DT en-wikipedia-org-6541 39 9 Doppler Doppler NNP en-wikipedia-org-6541 39 10 limit limit NN en-wikipedia-org-6541 39 11 " " '' en-wikipedia-org-6541 39 12 . . . en-wikipedia-org-6541 40 1 Phys phys NN en-wikipedia-org-6541 40 2 . . . en-wikipedia-org-6541 41 1 Rev. Rev. NNP en-wikipedia-org-6541 42 1 Lett Lett NNP en-wikipedia-org-6541 42 2 . . . en-wikipedia-org-6541 43 1 61 61 CD en-wikipedia-org-6541 43 2 ( ( -LRB- en-wikipedia-org-6541 43 3 2 2 CD en-wikipedia-org-6541 43 4 ) ) -RRB- en-wikipedia-org-6541 43 5 : : : en-wikipedia-org-6541 43 6 169–172 169–172 CD en-wikipedia-org-6541 43 7 . . . en-wikipedia-org-6541 44 1 doi:10.1103 doi:10.1103 NNP en-wikipedia-org-6541 44 2 / / SYM en-wikipedia-org-6541 44 3 PhysRevLett.61.169 physrevlett.61.169 CD en-wikipedia-org-6541 44 4 . . . en-wikipedia-org-6541 45 1 PMID PMID NNP en-wikipedia-org-6541 45 2   _SP en-wikipedia-org-6541 45 3 10039050 10039050 CD en-wikipedia-org-6541 45 4 . . . en-wikipedia-org-6541 46 1 ^ ^ NNP en-wikipedia-org-6541 46 2 Foot Foot NNP en-wikipedia-org-6541 46 3 , , , en-wikipedia-org-6541 46 4 C.J. C.J. NNP en-wikipedia-org-6541 47 1 ( ( -LRB- en-wikipedia-org-6541 47 2 2005 2005 CD en-wikipedia-org-6541 47 3 ) ) -RRB- en-wikipedia-org-6541 47 4 . . . en-wikipedia-org-6541 48 1 Atomic Atomic NNP en-wikipedia-org-6541 48 2 Physics Physics NNP en-wikipedia-org-6541 48 3 . . . en-wikipedia-org-6541 49 1 Oxford Oxford NNP en-wikipedia-org-6541 49 2 University University NNP en-wikipedia-org-6541 49 3 Press Press NNP en-wikipedia-org-6541 49 4 . . . en-wikipedia-org-6541 50 1 Section section NN en-wikipedia-org-6541 50 2 9.6 9.6 CD en-wikipedia-org-6541 50 3 . . . en-wikipedia-org-6541 51 1 ISBN ISBN NNP en-wikipedia-org-6541 51 2   _SP en-wikipedia-org-6541 51 3 9780198506966 9780198506966 CD en-wikipedia-org-6541 51 4 . . . en-wikipedia-org-6541 52 1 Metcalf metcalf JJ en-wikipedia-org-6541 52 2 , , , en-wikipedia-org-6541 52 3 Harold Harold NNP en-wikipedia-org-6541 52 4 J. J. NNP en-wikipedia-org-6541 52 5 ; ; : en-wikipedia-org-6541 52 6 van van NNP en-wikipedia-org-6541 52 7 der der NNP en-wikipedia-org-6541 52 8 Straten Straten NNP en-wikipedia-org-6541 52 9 , , , en-wikipedia-org-6541 52 10 Peter Peter NNP en-wikipedia-org-6541 52 11 ( ( -LRB- en-wikipedia-org-6541 52 12 1999 1999 CD en-wikipedia-org-6541 52 13 ) ) -RRB- en-wikipedia-org-6541 52 14 . . . en-wikipedia-org-6541 53 1 Laser Laser NNP en-wikipedia-org-6541 53 2 Cooling Cooling NNP en-wikipedia-org-6541 53 3 and and CC en-wikipedia-org-6541 53 4 Trapping Trapping NNP en-wikipedia-org-6541 53 5 . . . en-wikipedia-org-6541 54 1 Springer Springer NNP en-wikipedia-org-6541 54 2 . . . en-wikipedia-org-6541 55 1 Section section NN en-wikipedia-org-6541 55 2 8.8 8.8 CD en-wikipedia-org-6541 55 3 . . . en-wikipedia-org-6541 56 1 ISBN ISBN NNP en-wikipedia-org-6541 56 2   _SP en-wikipedia-org-6541 56 3 9780387987286 9780387987286 CD en-wikipedia-org-6541 56 4 . . . en-wikipedia-org-6541 57 1 This this DT en-wikipedia-org-6541 57 2 atomic atomic JJ en-wikipedia-org-6541 57 3 , , , en-wikipedia-org-6541 57 4 molecular molecular JJ en-wikipedia-org-6541 57 5 , , , en-wikipedia-org-6541 57 6 and and CC en-wikipedia-org-6541 57 7 optical optical JJ en-wikipedia-org-6541 57 8 physics physics NN en-wikipedia-org-6541 57 9 – – : en-wikipedia-org-6541 57 10 related relate VBN en-wikipedia-org-6541 57 11 article article NN en-wikipedia-org-6541 57 12 is be VBZ en-wikipedia-org-6541 57 13 a a DT en-wikipedia-org-6541 57 14 stub stub NN en-wikipedia-org-6541 57 15 . . . en-wikipedia-org-6541 58 1 You -PRON- PRP en-wikipedia-org-6541 58 2 can can MD en-wikipedia-org-6541 58 3 help help VB en-wikipedia-org-6541 58 4 Wikipedia Wikipedia NNP en-wikipedia-org-6541 58 5 by by IN en-wikipedia-org-6541 58 6 expanding expand VBG en-wikipedia-org-6541 58 7 it -PRON- PRP en-wikipedia-org-6541 58 8 . . . en-wikipedia-org-6541 59 1 v v NNP en-wikipedia-org-6541 59 2 t t NNP en-wikipedia-org-6541 59 3 e e NNP en-wikipedia-org-6541 59 4 Retrieved retrieve VBN en-wikipedia-org-6541 59 5 from from IN en-wikipedia-org-6541 59 6 " " `` en-wikipedia-org-6541 59 7 https://en.wikipedia.org/w/index.php?title=Sisyphus_cooling&oldid=999236908 https://en.wikipedia.org/w/index.php?title=Sisyphus_cooling&oldid=999236908 NNP en-wikipedia-org-6541 59 8 " " '' en-wikipedia-org-6541 59 9 Categories category NNS en-wikipedia-org-6541 59 10 : : : en-wikipedia-org-6541 59 11 Nuclear nuclear JJ en-wikipedia-org-6541 59 12 physics physics NN en-wikipedia-org-6541 59 13 Cooling cooling NN en-wikipedia-org-6541 59 14 technology technology NN en-wikipedia-org-6541 59 15 Atomic Atomic NNP en-wikipedia-org-6541 59 16 , , , en-wikipedia-org-6541 59 17 molecular molecular JJ en-wikipedia-org-6541 59 18 , , , en-wikipedia-org-6541 59 19 and and CC en-wikipedia-org-6541 59 20 optical optical JJ en-wikipedia-org-6541 59 21 physics physics NN en-wikipedia-org-6541 59 22 stubs stub NNS en-wikipedia-org-6541 59 23 Hidden hide VBN en-wikipedia-org-6541 59 24 categories category NNS en-wikipedia-org-6541 59 25 : : : en-wikipedia-org-6541 59 26 All all DT en-wikipedia-org-6541 59 27 stub stub NN en-wikipedia-org-6541 59 28 articles article NNS en-wikipedia-org-6541 59 29 Navigation Navigation NNP en-wikipedia-org-6541 59 30 menu menu NN en-wikipedia-org-6541 59 31 Personal personal JJ en-wikipedia-org-6541 59 32 tools tool NNS en-wikipedia-org-6541 59 33 Not not RB en-wikipedia-org-6541 59 34 logged log VBN en-wikipedia-org-6541 59 35 in in IN en-wikipedia-org-6541 59 36 Talk Talk NNP en-wikipedia-org-6541 59 37 Contributions Contributions NNP en-wikipedia-org-6541 59 38 Create Create NNP en-wikipedia-org-6541 59 39 account account NN en-wikipedia-org-6541 59 40 Log Log NNP en-wikipedia-org-6541 59 41 in in IN en-wikipedia-org-6541 59 42 Namespaces Namespaces NNP en-wikipedia-org-6541 59 43 Article Article NNP en-wikipedia-org-6541 59 44 Talk talk NN en-wikipedia-org-6541 59 45 Variants variant VBZ en-wikipedia-org-6541 59 46 Views view NNS en-wikipedia-org-6541 59 47 Read read VBP en-wikipedia-org-6541 59 48 Edit edit NN en-wikipedia-org-6541 59 49 View View NNP en-wikipedia-org-6541 59 50 history history NN en-wikipedia-org-6541 59 51 More More JJR en-wikipedia-org-6541 59 52 Search Search NNP en-wikipedia-org-6541 59 53 Navigation Navigation NNP en-wikipedia-org-6541 59 54 Main Main NNP en-wikipedia-org-6541 59 55 page page NN en-wikipedia-org-6541 59 56 Contents content VBZ en-wikipedia-org-6541 59 57 Current current JJ en-wikipedia-org-6541 59 58 events event NNS en-wikipedia-org-6541 59 59 Random random JJ en-wikipedia-org-6541 59 60 article article NN en-wikipedia-org-6541 59 61 About about IN en-wikipedia-org-6541 59 62 Wikipedia Wikipedia NNP en-wikipedia-org-6541 59 63 Contact Contact NNP en-wikipedia-org-6541 59 64 us -PRON- PRP en-wikipedia-org-6541 59 65 Donate Donate NNP en-wikipedia-org-6541 59 66 Contribute contribute NN en-wikipedia-org-6541 59 67 Help help NN en-wikipedia-org-6541 59 68 Learn learn VB en-wikipedia-org-6541 59 69 to to TO en-wikipedia-org-6541 59 70 edit edit VB en-wikipedia-org-6541 59 71 Community community NN en-wikipedia-org-6541 59 72 portal portal JJ en-wikipedia-org-6541 59 73 Recent recent JJ en-wikipedia-org-6541 59 74 changes change NNS en-wikipedia-org-6541 59 75 Upload upload JJ en-wikipedia-org-6541 59 76 file file NN en-wikipedia-org-6541 59 77 Tools tool NNS en-wikipedia-org-6541 59 78 What what WP en-wikipedia-org-6541 59 79 links link NNS en-wikipedia-org-6541 59 80 here here RB en-wikipedia-org-6541 59 81 Related relate VBN en-wikipedia-org-6541 59 82 changes change VBZ en-wikipedia-org-6541 59 83 Upload upload JJ en-wikipedia-org-6541 59 84 file file VBP en-wikipedia-org-6541 59 85 Special special JJ en-wikipedia-org-6541 59 86 pages page NNS en-wikipedia-org-6541 59 87 Permanent permanent JJ en-wikipedia-org-6541 59 88 link link NN en-wikipedia-org-6541 59 89 Page Page NNP en-wikipedia-org-6541 59 90 information information NN en-wikipedia-org-6541 59 91 Cite cite VB en-wikipedia-org-6541 59 92 this this DT en-wikipedia-org-6541 59 93 page page NN en-wikipedia-org-6541 59 94 Wikidata wikidata NN en-wikipedia-org-6541 59 95 item item NN en-wikipedia-org-6541 59 96 Print print NN en-wikipedia-org-6541 59 97 / / SYM en-wikipedia-org-6541 59 98 export export NN en-wikipedia-org-6541 59 99 Download Download NNP en-wikipedia-org-6541 59 100 as as IN en-wikipedia-org-6541 59 101 PDF PDF NNP en-wikipedia-org-6541 59 102 Printable Printable NNP en-wikipedia-org-6541 59 103 version version NN en-wikipedia-org-6541 59 104 Languages language VBZ en-wikipedia-org-6541 59 105 Deutsch Deutsch NNP en-wikipedia-org-6541 59 106 فارسی فارسی JJ en-wikipedia-org-6541 59 107 Русский Русский NNP en-wikipedia-org-6541 59 108 Edit Edit NNP en-wikipedia-org-6541 59 109 links link NNS en-wikipedia-org-6541 59 110 This this DT en-wikipedia-org-6541 59 111 page page NN en-wikipedia-org-6541 59 112 was be VBD en-wikipedia-org-6541 59 113 last last RB en-wikipedia-org-6541 59 114 edited edit VBN en-wikipedia-org-6541 59 115 on on IN en-wikipedia-org-6541 59 116 9 9 CD en-wikipedia-org-6541 59 117 January January NNP en-wikipedia-org-6541 59 118 2021 2021 CD en-wikipedia-org-6541 59 119 , , , en-wikipedia-org-6541 59 120 at at IN en-wikipedia-org-6541 59 121 04:26 04:26 CD en-wikipedia-org-6541 59 122   _SP en-wikipedia-org-6541 59 123 ( ( -LRB- en-wikipedia-org-6541 59 124 UTC UTC NNP en-wikipedia-org-6541 59 125 ) ) -RRB- en-wikipedia-org-6541 59 126 . . . en-wikipedia-org-6541 60 1 Text text NN en-wikipedia-org-6541 60 2 is be VBZ en-wikipedia-org-6541 60 3 available available JJ en-wikipedia-org-6541 60 4 under under IN en-wikipedia-org-6541 60 5 the the DT en-wikipedia-org-6541 60 6 Creative Creative NNP en-wikipedia-org-6541 60 7 Commons Commons NNP en-wikipedia-org-6541 60 8 Attribution Attribution NNP en-wikipedia-org-6541 60 9 - - HYPH en-wikipedia-org-6541 60 10 ShareAlike ShareAlike NNP en-wikipedia-org-6541 60 11 License License NNP en-wikipedia-org-6541 60 12 ; ; , en-wikipedia-org-6541 60 13 additional additional JJ en-wikipedia-org-6541 60 14 terms term NNS en-wikipedia-org-6541 60 15 may may MD en-wikipedia-org-6541 60 16 apply apply VB en-wikipedia-org-6541 60 17 . . . en-wikipedia-org-6541 61 1 By by IN en-wikipedia-org-6541 61 2 using use VBG en-wikipedia-org-6541 61 3 this this DT en-wikipedia-org-6541 61 4 site site NN en-wikipedia-org-6541 61 5 , , , en-wikipedia-org-6541 61 6 you -PRON- PRP en-wikipedia-org-6541 61 7 agree agree VBP en-wikipedia-org-6541 61 8 to to IN en-wikipedia-org-6541 61 9 the the DT en-wikipedia-org-6541 61 10 Terms term NNS en-wikipedia-org-6541 61 11 of of IN en-wikipedia-org-6541 61 12 Use Use NNP en-wikipedia-org-6541 61 13 and and CC en-wikipedia-org-6541 61 14 Privacy Privacy NNP en-wikipedia-org-6541 61 15 Policy Policy NNP en-wikipedia-org-6541 61 16 . . . en-wikipedia-org-6541 62 1 Wikipedia Wikipedia NNP en-wikipedia-org-6541 62 2 ® ® NNPS en-wikipedia-org-6541 62 3 is be VBZ en-wikipedia-org-6541 62 4 a a DT en-wikipedia-org-6541 62 5 registered registered JJ en-wikipedia-org-6541 62 6 trademark trademark NN en-wikipedia-org-6541 62 7 of of IN en-wikipedia-org-6541 62 8 the the DT en-wikipedia-org-6541 62 9 Wikimedia Wikimedia NNP en-wikipedia-org-6541 62 10 Foundation Foundation NNP en-wikipedia-org-6541 62 11 , , , en-wikipedia-org-6541 62 12 Inc. Inc. NNP en-wikipedia-org-6541 62 13 , , , en-wikipedia-org-6541 62 14 a a DT en-wikipedia-org-6541 62 15 non non JJ en-wikipedia-org-6541 62 16 - - JJ en-wikipedia-org-6541 62 17 profit profit JJ en-wikipedia-org-6541 62 18 organization organization NN en-wikipedia-org-6541 62 19 . . . en-wikipedia-org-6541 63 1 Privacy privacy NN en-wikipedia-org-6541 63 2 policy policy NN en-wikipedia-org-6541 63 3 About about IN en-wikipedia-org-6541 63 4 Wikipedia Wikipedia NNP en-wikipedia-org-6541 63 5 Disclaimers Disclaimers NNPS en-wikipedia-org-6541 63 6 Contact Contact NNP en-wikipedia-org-6541 63 7 Wikipedia Wikipedia NNP en-wikipedia-org-6541 63 8 Mobile Mobile NNP en-wikipedia-org-6541 63 9 view view NN en-wikipedia-org-6541 63 10 Developers Developers NNP en-wikipedia-org-6541 63 11 Statistics Statistics NNP en-wikipedia-org-6541 63 12 Cookie Cookie NNP en-wikipedia-org-6541 63 13 statement statement NN