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1、PHYSICALREVIEWA78,0436182008Mean-fielddynamicsofaBoseJosephsonjunctioninanopticalcavityJ.M.Zhang,W.M.Liu,andD.L.ZhouBeijingNationalLaboratoryforCondensedMatterPhysics,InstituteofPhysics,ChineseAcademyofSciences,Beijing100080,ChinaReceived13March2008;revisedmanuscript
2、received16June2008;published30October2008Westudythemean-ÞelddynamicsofaBoseJosephsonjunctionwhichisdispersivelycoupledtoasinglemodeofahigh-Þnesseopticalcavity.AneffectiveclassicalHamiltonianfortheBoseJosephsonjunctionisderived,anditsdynamicsisstudiedfromtheperspective
3、ofaphaseportrait.Itisshownthatthestrongcondensate-ÞeldinterplaydoesalterthedynamicsoftheBoseJosephsonjunctiondrastically.ThepossibilityofcoherentmanipulatingandinsituobservationofthedynamicsoftheBoseJosephsonjunctionisdiscussed.DOI:10.1103/PhysRevA.78.043618PACSnumber
4、s:03.75.Lm,37.10.Vz,42.50.Pq,45.20.JjCavityquantumelectrodynamicscavityQEDhasnowTheHamiltonianofthesystemconsistsofthreeparts:grownintoaparadigminthestudyofthematter-Þeldinter-action.Totailortheatom-Þeldcouplingeffectively,ahighH=Ha+Hf+Hint.1degreeofcontroloverthe
5、center-of-massmotionoftheat-HaisthecanonicalBose-Josephson-junctionHamiltonianinomsisessential.Althoughpreviousworkshavefocusedonthetwo-modeapproximation=1throughout,thefew-atomlevel1,recently,agreatstepwasmadeastwogroupssucceededindependentlyincouplingaBose-VEins
6、teincondensatetoasingle-cavitymode2,3.Thatis,aHa=−b1b2+b2b1+b1b1b1b1+b2b2b2b2,22single-cavitymodedressedcondensatehasbeenachieved.ThisopensupanewregimeinboththeÞeldsofcavityQEDwhereb1,b2b1,b2createannihilateanatominitsinter-andultracoldatomphysics.Inthecon
7、densate,alltheatomsnalgroundstateintheleftandrighttraps,respectively.isoccupythesamemotionalmodeandcoupleidenticallytothethetunnelingmatrixelementbetweenthetwomodes,whilecavitymode,thusrealizingtheDickemodel4inabroadVdenotestherepulsiveinteractionstrengthbetweenapai
8、rofsense.Asshownbytheseexperiments,thecondensateisatomsinthesamemode.Thetwo-modemodelassumestwoquiterobust;itwouldnot
