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1、QuantumerasurebytransverseindistinguishabilityP.H.SoutoRibeiro1∗,S.P´adua2,andC.H.Monken21InstitutodeF´ısica,UniversidadeFederaldoRiodeJaneiro,CaixaPostal68528,RiodeJaneiro,RJ22945-970,Brazil2DepartamentodeF´ısica,UniversidadeFederaldeMinasGerais,CaixaPostal702,BeloHor
2、izonte,MG30123-970,Brazil(February1,2008)Weshowthatthefirstexperimentwithdouble-slitsandtwinphotonsdetectedincoincidencecanbeunderstoodasaquantumeraser.The“whichpath”informationiserasedbytransverseindistinguishabilityobtainedbymeansofmodefilteringinthetwinconjugatedbeam.
3、Adelayedchoicequantumeraserbasedonthesameschemeisproposed.42.50.Ar,42.25.KbI.INTRODUCTIONII.THEDOUBLE-SLITEXPERIMENTWITHTWINPHOTONSStudyingQuantumPhysicsexperimentallyhasbecomemucheasierwiththeuseofthetwinphotonsproducedLetusbrieflyrecallthemainideabehindtheexper-inthes
4、pontaneousparametricdown-conversionprocess.imentdescribedinRef.[5].Fig.1showsasketchofManyoftheexperimentsperformedsofar,arerealiza-theset-up.Twinphotonsareproducedintheprocessoftionsofdifferentkindsofinterferometers.Theseinter-spontaneousparametricdown-conversionandthe
5、yareferometersallowustoimproveourunderstandingofthedetectedincoincidence.Thesignalphotonispassednatureoflightandmatter.Itisconvenienttothinkthesethroughadouble-slitandtheidlerphotongoesstraightinterferometers,asdividedintwocategories:theonestothedetector.Coincidencefri
6、ngesaredetectedbydis-utilizingthelongitudinaldegreesoffreedomofthefieldplacingtransverselythesignaldetector,whichisaftertheandtheonesutilizingitstransversedegreesoffreedom.slitsandkeepingtheidlerdetectorfixed.ItwasshownWecalllongitudinalinterferometers,theonesofthethatth
7、ecoincidenceprofileexhibitedinterferencefringes,typeofMichelson’sandMach-Zehnder’sinterferometers.evenwhenintensityfringeswerenotobserved.Alargenumberofexperimentswithtwinphotonshasbeenperformedwiththem.SomeexamplesarethoseofRefs.[1–3].Thetransverseinterferometers,areth
8、eonesofthekindofthedouble-slitorYounginterferometers.SomeexamplesaregiveninRefs.[4–10].Theseinterfer-ometersareimport
