“Doubly Magic” Conditions in Magic-Wavelength Trapping of Ultracold Alkali-Metal Atoms

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1、weekendingPRL105,033002(2010)PHYSICALREVIEWLETTERS16JULY2010‘‘DoublyMagic’’ConditionsinMagic-WavelengthTrappingofUltracoldAlkali-MetalAtomsAndreiDerevianko*DepartmentofPhysics,UniversityofNevada,RenoNevada89557,USA(Received16April2010;published16July2

2、010)Inexperimentswithtrappedatoms,atomicenergylevelsareshiftedbythetrappingopticalandmagneticfields.Regardlessofthisstrongperturbation,precisionspectroscopymaybestillcarriedoutusingspeciallycrafted,‘‘magic’’trappingfields.Findingtheseconditionsforpartic

3、ularlyvaluablemicrowavetransitionsinalkali-metalatomshassofarremainedanopenchallenge.HereIdemonstratethatthemicrowavetransitionsinalkali-metalatomsmaybeindeedmadeimpervioustobothtrappinglaserintensityandfluctuationsofmagneticfields.Iconsiderdrivingmulti

4、photontransitionsbetweentheclocklevelsandshowthatthese‘‘doublymagic’’conditionsarerealizedatspecialvaluesoftrappinglaserwavelengthsandfixedvaluesofrelativelyweakmagneticfields.Thisfindinghasimplicationsforprecisionmeasurementsandquantuminformationprocess

5、ingwithqubitsstoredinhyperfinemanifolds.DOI:10.1103/PhysRevLett.105.033002PACSnumbers:37.10.Jk,06.30.FtComparedtospectroscopicbeamexperiments,trappingfields.Foralkali-metalatoms,however,anadditionalpiececoldatomsandmoleculesremovesDopplershiftsandofthep

6、uzzleisthattheclockorqubitstatesaresensitivetoincreasesinterrogationtime,therebydramaticallyenhanc-bothopticalandmagneticfields.Oneneedstoeliminateingspectralresolution.Thisimprovementcomesataprice:thesensitivityoftransitionfrequencytobothperturba-tra

7、ppingopticalfieldsstronglyperturbatomicenergylev-tionssimultaneously.Thisproblemissolvedhere.Wewillels—transitionfrequenciesareshiftedawayfromtheirrequirethattheclock-qubittransitionisinsensitivetobothunperturbedvalues.Inaddition,theunderlyingStarkshif

8、tStark-andZeeman-inducedperturbations(wewillusetheisproportionaltothelocalintensityofthetrappinglasers;doublymagicqualifierforsuchtrappingconditions).theshiftisnonuniformacrosstheatomicensembleanditisFirststepsinidentifyingmagicconditionsforhyp