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1、RAPIDCOMMUNICATIONSPHYSICALREVIEWA81,031611(R)(2010)Experimentalobservationofmagic-wavelengthbehaviorof87RbatomsinanopticallatticeN.Lundblad,1,2,*M.Schlosser,3andJ.V.Porto21DepartmentofPhysics&Astronomy,BatesCollege,Lewiston,Maine04240,USA2JointQuantumInstitute,Nati
2、onalInstituteofStandardsandTechnologyandUniversityofMaryland,Gaithersburg,Maryland20899,USA3InstitutfurAngewandtePhysik,TechnischeUniversit¨atDarmstadt,Schlossgartenstraße7,D-64289Darmstadt,Germany¨(Received8December2009;published29March2010)Wedemonstratethecancella
3、tionofthedifferentialacStarkshiftofthemicrowavehyperfineclocktransitionintrapped87Rbatoms.Recentprogressinmetrologyexploitsso-calledmagicwavelengths,wherebyanatomicensemblecanbetrappedwithlaserlightwhosewavelengthischosensothatbothlevelsofanopticalatomictransitionexp
4、erienceidenticalacStarkshifts.Similarmagic-wavelengthtechniquesarenotpossibleforthemicrowavehyperfinetransitionsinthealkalimetalsduetotheirsimpleelectronicstructure.Weshow,however,thatacStarkshiftcancellationisindeedachievableforcertainvaluesofwavelength,polarization
5、,andmagneticfield.Thecancellationcomesattheexpenseofasmallmagnetic-fieldsensitivity.Thetechniquedemonstratedherehasimplicationsforexperimentsinvolvingtheprecisecontrolofopticallytrappedneutralatoms.DOI:10.1103/PhysRevA.81.031611PACSnumber(s):67.85.Hj,06.30.Ft,32.10.Dk
6、,37.10.JkOpticaltrappingiswidelyusedforthemanipulationoftensorpolarizabilitiesαs,αv,andαt[4,5]:coldandultracoldneutralatoms.Itisoftendesirableto2opticallytrapneutralatomswithoutaffectingtheinternal1H=−Eαs+αv(i∗×)·Fˆenergy-levelspacingoftheatoms,particularlyin
7、casesnF0nFnF2(suchasinatomicclocksorquantumcomputing)wheretheaccuratemeasurementofanatomictransitionfrequencyis3
8、·Fˆ
9、2−Fˆ2
10、
11、2+αt,(2)paramount.Unfortunately,foranytwointernalstatesofannFF(2F−1)atom,opticaltrappinggenerallyinducesadifferentialshift:thisshiftpre
12、sentsuncertaintyinatomictransitionfrequenciesandalsointroducesinhomogeneityinthetransition,associatedwhere¯hFˆisthetotalatomicangularmomen
