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1、Controllablescatteringofasinglephotoninsideaone-dimensionalresonatorwaveguidewithsecond-ordernonlinearityY.H.Zhou1∗,D.D.Zou2,H.Z.Shen3,andChui-PingYang1†1QuantumInformationResearchCenter,ShangraoNormalUniversity,Shangrao334001,China2SchoolofPhysicsandElectronicInfor
2、mation,ShangraoNormalUniversity,Shangrao334001,China3CenterforQuantumSciencesandSchoolofPhysics,NortheastNormalUniversity,Changchun130024,China4DepartmentofPhysics,DalianMaritimeUniversity,Dalian116026,China(Dated:February15,2019)Wenotethatmostofthestudiesofthesingl
3、ephotonscatteringinsideaone-dimensionalresonatorwaveguidearebasedonthewaveguidecouplingwiththeatomsystems.Inthispaper,wewillstudythesinglephotonscatteringenabledbythesecond-ordernonlinearity,whichcanactasasinglephotonswitchtocontrolthesinglephotontransmissionandflect
4、ioninsidetheone-dimensionalresonatorwaveguide.Thetransmissionrateiscalculatedtoanalyzethesingle-photonscatteringproperties.Inaddition,amorecomplicatedsecond-ordernonlinearform,i.e.,three-wavemixing,isalsodiscussedtorealizesinglephotontransmitandreflectioninsidetheone
5、-dimensionalresonatorwaveguide.PACSnumbers:03.67.Hk,03.65.-w,05.60.GgI.INTRODUCTIONthispaperisbasedonthephotontransportpropertiesintheCRW,whichisembeddedwithatwo-levelorthree-levelatomhavealsobeenwidelyexplored[19,20,24–30].Inordertorealizequantuminformationandquan-
6、Withtheprogressofrecenttechnology,second-ordertumcomputation,severalsystemshavebeenproposedtononlinearity[23]hasbecomeanactiveareaofresearchinbuildquantumnetworks.Amongallthesystems,quan-modernquantumopticsandquantuminformationpro-tumopticalsystemshaveattractedconsi
7、derableatten-cessing.Theconversionofasinglephotonwithhightion,becausetheypreservequantumstatesforalongfrequencyintotwophotonswithlowfrequencyinducedlifetimeandrarelyinteractwithstaticfieldsfromenvi-bysecond-ordernonlinearityiscalledparametricdown-ronment,sophotonsare
8、excellentcandidateforquantumconversion.Theoppositeprocessoftwophotonscon-informationandquantumcomputation.vertingintoasinglephotoncorrespo