5.5.3量子态操控Stavetal,Science361,1101-1104(2018)利用介质超构表面Quantumentanglementofthespinand orbital angularmomentum操控纠缠光子对ofphotonsusingmetamaterialsSi-based geometric phaseTomer Stav', Arkady Faerman*, Ehanan Maguid, Dikla Oren', Vladimir KleinerErez Hasman"t,Mordechai Segev'metasurface(GPM)原理：单光子的自旋和轨道角动量纠缠[H)[ = 0) =(/o+) +[)[l=0)/2-[V)le = 0) =(lo+)-[o-)le=0)V2VF=0)GPMFig.LEntanglementbetweenspinandOAMonasinglephoton.Asinglephotonvertically[>[e0[)polarizedisarivingfromtheleft.asillustratedbythevellowwavepacketrepresentingtheelectricfieldamplitude.ThisphotoncarrieszeroOAM,asillustratedbytheyellowflatphasefronts.Thesinglephotonpassesthroughthemetasurfacenanoantennas(purple)andexitsasasingle-particleentangledstate,depictedasasuperpositionoftheredandblueelectricfieldamplitudes,withthecorrespondingvortexphasefrontsoppositetooneanother11
原理：单光子的自旋 和轨道角动量纠缠 11 利用介质超构表面 操控纠缠光子对 Si-based geometric phase metasurface (GPM) 5.5.3 量子态操控
Wangetal.Science361.1104-1108(2018)Quantummetasurfacefor利用介质超构表面进行量multiphotoninterferenceand statereconstruction子态重构和多光子干涉Kai Wang', James G. Titchener.2, Sergey S. Kruk', Lel Xu's, Hung-Pin Chung'Matthew Parry', Ivan I, Kravchenko, Yen-Hung Chene, Alexander S. Solntsey.Yuri S. Kivshar', Dragomir N.Neshev, Andrey A, Sukhorukov'-BcA0i00Metasurface235641O中中OOFrame100090000中中COFrame20中?Frame30?中umFrame4?QON-photonMCorrelation15polarizationstate10timage10200M-SM3000Densitymatrix65400+0N-foldcorrelationp50梦00000+60030510Reconstruction6N12345Fig.1,Concept of quantumstateimaging viananostructured flatprojectivebasesasvectorsonthePoincaresphere;blackarrowsindicateoptics.(A)Sketchofametasurfacebeingusedtoimagean.inputN-photonthecoordinateaxes.ShownatthebottomaretheminimumnumberofpolarizationstateintoanM-spotimage.Atthetoprightisascanningelectronrequiredspotstofullyreconstructtheinitial quantumstatefordifferentmicroscopyimageofthefabricatedall-dielectricmetasurface.GreennumbersofphotonsN,whereoptimal-framechoiceofprojectivebasescrossesrepresentphotons:purpleblocksonthemetasurfacerepresentexistsforM=6,8.12.20..(C)Anexampleofcorrelationmeasurementnanoresonators.(B)ThetopimageisasketchofthreeinterleavedgratingswithN=2andM=6,withseveraltime-framemeasurementscombinedforM=6.Themiddleimageshows,withorangearrows,thecorrespondinginto a two-dimensional correlation image12
12 利用介质超构表面进行量 子态重构和多光子干涉
利用介质超构表面调控光子纠缠baEntanglementDisentanglement[1l1)11)al =(alt +i.at)(20)-102)ak =(ah-i.at)Fig.1Spatialentanglementanddisen-photonstateatametasurface通过超构表面后，得到双光子NOON态y) =atatlo) = -(atat -atat)ioMetasurfaceinterferometrvtowardGeorgietal.Light:Science&Applications(2019)8:70quantum sensorsPhilip Georgi',Marcello Massaro',Kai-Hong Luo,Basudeb Sain',Nicola Montaut', Harald HermannThomasWeiss,GuixinL,ChristineSilberhornandThomasZentgraf13
13 利用介质超构表面调控光子纠缠 通过超构表面后，得到双光子NOON态