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1、SuperconductingCircuitsforQuantumSimulationofDynamicalGaugeFieldsD.Marcos,1P.Rabl,2E.Rico,3andP.Zoller1,41InstituteforQuantumOpticsandQuantumInformationoftheAustrianAcademyofSciences,A-6020Innsbruck,Austria2InstituteofAtomicandSubatomicPhysics,TUWien,Stadionallee2,1020Wien,Austria3Institutfu
2、rQuanteninformationsverarbeitung,Universit¨atUlm,D-89069Ulm,Germany¨4InstituteforTheoreticalPhysics,UniversityofInnsbruck,A-6020Innsbruck,AustriaWedescribeasuperconducting-circuitlatticedesignfortheimplementationandsimulationofdynamicallat-ticegaugetheories.Weillustrateourproposalbyanalyzing
3、aone-dimensionalU(1)quantum-linkmodel,wheresuperconductingqubitsplaytheroleofmatterfieldsonthelatticesitesandthegaugefieldsarerepresentedbytwocoupledmicrowaveresonatorsoneachlinkbetweenneighboringsites.Adetailedanalysisofaminimalexperimentalprotocolforprobingthephysicsrelatedtostringbreakingef
4、fectsshowsthatdespitethepresenceofdecoherenceinthesesystems,distinctivephenomenafromcondensed-matterandhigh-energyphysicscanbevisualizedwithstate-of-the-arttechnologyinsmallsuperconducting-circuitarrays.PACSnumbers:85.25.-j,11.15.Ha,75.10.JmTheremarkableexperimentalprogressreportedinrecentin
5、frustratedspinsystemsandquantumspinliquids[14–17],yearswithsuperconductingquantumcircuits(SQC)hasmadeandaquantumsimulatorwouldgiveaccesstophasesanddy-thesesystemsoneofthebestplatformsforcontrolatthelevelnamicssofaroutofreachviaclassicalcomputations.ofsinglequanta[1–6].WhileSQCshavebeenmainly
6、devel-Inthelatticeformulationofgaugetheories,thematteropedfromtheperspectiveofquantumcomputing,thestrongfieldsliveonthelatticesites,whilethegaugefieldsappearasnonlinearitiesandlowlossratescurrentlyachievedwithsu-bosonicdegreesoffreedomonthelinkscouplingneighboringperconductingdeviceshaveinspir
7、edproposalsandfirstexper-sites[seeFig.1(a)].Asimple,althoughnon-trivialexampleimentstoimplementquantumsimulators[7,8],mainlyintheofaLGTofmatterfieldscoupledtodynamicalgaugesfieldscontextofspinandHubbardmodels[9].IncomparisonwithistheSchwingermodel[18–
