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1、NewJ.Phys.17(2015)053040doi:10.1088/1367-2630/17/5/053040PAPERQuantumtheoryofcollectivestrongcouplingofmolecularvibrationsOPENACCESSwithamicrocavitymodeRECEIVED27February2015JavierdelPino1,JohannesFeist1andFranciscoJGarcia-Vidal1,2REVISED1DepartamentodeFísicaTeóricadelaMateriaCondensad
2、aandCondensedMatterPhysicsCenter(IFIMAC),UniversidadAutónomade22April2015Madrid,MadridE-28049,SpainACCEPTEDFORPUBLICATION2DonostiaInternationalPhysicsCenter(DIPC),E-20018Donostia/SanSebastian,Spain23April2015E-mail:johannes.feist@uam.esPUBLISHED22May2015Keywords:organicmolecules,strong
3、coupling,vibrationalmodes,polaritons,quantumopticsContentfromthisworkmaybeusedunderthetermsoftheCreativeAbstractCommonsAttribution3.0licence.WedevelopaquantummechanicalformalismtotreatthestrongcouplingbetweenanelectromagneticAnyfurtherdistributionofmodeandavibrationalexcitationofanense
4、mbleoforganicmolecules.ByemployingaBloch–thisworkmustmaintainattributiontotheRedfield–Wangsnessapproach,weshowthattheinfluenceofdephasing-typeinteractions,i.e.,author(s)andthetitleofelasticcollisionswithabackgroundbathofphonons,criticallydependsonthenatureofthebaththework,journalcitation
5、andDOI.modes.Inparticular,forlong-rangephononscorrespondingtoacommonbath,thedynamicsofthe‘brightstate’(thecollectivesuperpositionofmolecularvibrationscouplingtothecavitymode)iseffectivelydecoupledfromothersystemeigenstates.Forthecaseofindependentbaths(orshort-rangephonons),incoherenten
6、ergytransferoccursbetweenthebrightstateandtheuncoupleddarkstates.However,theseprocessesaresuppressedwhentheRabisplittingislargerthanthefrequencyrangeofthebathmodes,asachievedinarecentexperiment(Shalabneyetal2015Nat.Commun.65981).Inbothcases,thedynamicscanthusbedescribedthroughasingleco
7、llectiveoscillatorcoupledtoaphotonicmode,makingthissystemanidealcandidatetoexplorecavityoptomechanicsatroomtemperature.1.IntroductionThefieldofcavityoptomechanicsexplorestheinteractionbetweenelectromagnetic(EM)radiationandthequantizedmechanicalmotionofnano-ormicro-oscillators[1–3].Rec
