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1、Impactofgraphenecoatingontheatom-plateinteractionG.L.Klimchitskaya1,2andV.M.Mostepanenko1,21CentralAstronomicalObservatoryatPulkovooftheRussianAcademyofSciences,St.Petersburg,196140,Russia2InstituteofPhysics,NanotechnologyandTelecommunications,St.PetersburgStatePolytechnicalUniversity,St.Pet
2、ersburg,195251,RussiaAbstractUsingtherecentlyproposedquantumelectrodynamicalformalism,wecalculatetheCasimir-PolderfreeenergiesandforcesbetweenthegroundstateatomsofRb,Na,CsandHe∗andtheplatesmadeofAu,Si,sapphireandfusedsilicacoatedwithagraphenesheet.Itisshownthatthegraphenecoatinghasnoeffectont
3、heCasimir-Polderinteractionformetallicplates,butinfluencessignificantlyforplatesmadeofdielectricmaterials.Theinfluenceofgraphenecoatingincreaseswithdecreasingstaticdielectricpermittivityoftheplatematerialandthecharacteristicfrequencyofanatomicdynamicpolarizability.Simpleanalyticexpressionsforth
4、eclassicallimitoftheCasimir-Polderfreeenergyandforcebetweenanatomandagraphene-coatedplateareobtained.Fromthecomparisonwiththeresultsofnumericalcomputations,theapplicationregionoftheseexpressionsisdetermined.PACSnumbers:34.35.+a,12.20.Ds,78.67.WjarXiv:1406.5819v1[quant-ph]23Jun20141I.INTRODUC
5、TIONTheinteractionofapolarizableatominthegroundstatewithanidealmetalplateatzerotemperature,causedbythezero-pointoscillationsoftheelectromagneticfield,wasdescribedbyCasimirandPolder[1].Itwasgeneralizedtotheplatematerialscharacterizedbythefrequency-dependentdielectricpermittivityε(ω)atnonzerote
6、mperatureintheframeworkoftheLifshitztheory[2].InsucceedingyearsmuchworkhasbeendonetoinvestigatethedependenceoftheCasimir-Polderinteractiononthecharacteristicsofatomsandpropertiesofplatematerials[3–8].Thesetheoreticalinvestigationswerestimulatedbytheexperimentalstudiesofquantumreflection[9–11]
7、andBose-Einsteincondensation[12–14]ofdifferentatomsnearmaterialsurfaces.Furthermore,afteraqualitativeexperimentaldemonstrationoftheatom-plateinteraction[15],moreprecisemeasurementofthethermalCasimir-Polderforcehasbeenperformed[16]usingtheadvantageso
