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1、ThermodynamicalPropertiesofaRotatingIdealBoseGasSebastianKling?Institutf¨urAngewandtePhysik,Universit¨atBonn,Wegelerstra?e8,53115Bonn,GermanyAxelPelster?FachbereichPhysik,CampusDuisburg,Universit¨atDuisburg-Essen,Lotharstrasse1,47048Duisburg,Germany(Dated:February6,2008)In
2、arecentexperiment,aBose-Einsteincondensatewastrappedinananharmonicpotentialwhichiswellapproximatedbyaharmonicandaquarticpart.Thecondensatewassetintosuchafastrotationthatthecentrifugalforceinthecorotatingframeovercompensatestheharmonicpartintheplaneperpendiculartotherotatio
3、naxis.Thus,theresultingtrappotentialbecameMexican-hatshaped.WepresentananalysisforanidealBosegaswhichiscon?nedinsuchananharmonicrotatingtrapwithinasemiclassicalapproximationwherewecalculatethecriticaltemperature,thecondensatefraction,andtheheatcapacity.Inparticular,weexami
4、neindetailhowthesethermodynamicalquantitiesdependontherotationfrequency.PACSnumbers:03.75.Hh,31.15.Gy,51.30.+iI.INTRODUCTIONInRef.[6]anamountof3×105atomsof87Rbissetintorotationwithanotherlaserbeamactingasastirrer.Thelasercreatesananisotropicpotentialinthexy-planeTherotatio
5、nofaquantum?uidleadstomanyinter-whichrotateswithfrequency?.Inthecorotatingframe,estingproblems.Inparticular,therotationofultracoldtheresultingtrappingpotentialcanbewrittenasBosegaseshasmotivatedalotofscienti?cworkwithinthelastfewyears.M