
1.Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon 34126, Republic of Korea
2.Department of Physics, Pukyong National University, Busan 48513, Republic of Korea
3.Department of Physics, Hanyang University, Seoul 04763, Republic of Korea
Hee Chul Park (hc2725@gmail.com)
Moon Jip Park (moonjippark@hanyang.ac.kr)
Published:30 June 2023,
Published Online:4 May 2023,
Received:22 November 2022,
Revised:27 March 2023,
Accepted:12 April 2023
Scan for full text
Yi, C. H., Park, H. C. & Park, M. J. Bloch theorem dictated wave chaos in microcavity crystals. Light: Science & Applications, 12, 994-1000 (2023).
Yi, C. H., Park, H. C. & Park, M. J. Bloch theorem dictated wave chaos in microcavity crystals. Light: Science & Applications, 12, 994-1000 (2023). DOI: 10.1038/s41377-023-01156-9.
Universality class of wave chaos emerges in many areas of science
such as molecular dynamics
optics
and network theory. In this work
we generalize the wave chaos theory to cavity lattice systems by discovering the intrinsic coupling of the crystal momentum to the internal cavity dynamics. The
cavity
-
momentum locking
substitutes the role of the deformed boundary shape in the ordinary single microcavity problem
providing a new platform for the in situ study of microcavity light dynamics. The transmutation of wave chaos in periodic lattices leads to a phase space reconfiguration that induces a dynamical localization transition. The degenerate scar-mode spinors hybridize and non-trivially localize around regular islands in phase space. In addition
we find that the momentum coupling becomes maximal at the Brillouin zone boundary
so the intercavity chaotic modes coupling and wave confinement are significantly altered. Our work pioneers the study of intertwining wave chaos in periodic systems and provide useful applications in light dynamics control.
Cao,H.&Wiersig,J.Dielectricmicrocavities:modelsystemsforwavechaosandnon-Hermitianphysics.Rev. Mod. Phys.87,61–111(2015)..
Nöckel,J.U.&Stone,A.D.Rayandwavechaosinasymmetricresonantopticalcavities.Nature385,45–47(1997)..
Yi,C.H.,Kullig,J.&Wiersig,J.Pairofexceptionalpointsinamicrodiskcavityunderanextremelyweakdeformation.Phys. Rev. Lett.120,093902(2018)..
Kullig,J.,Yi,C.H.&Wiersig,J.Exceptionalpointsbycouplingofmodeswithdifferentangularmomentaindeformedmicrodisks:aperturbativeanalysis.Phys. Rev. A98,023851(2018)..
Kullig,J.&Wiersig,J.MicrodiskcavitieswithaBrewsternotch.Phys. Rev. Res.3,023202(2021)..
Wiersig,J.Structureofwhispering-gallerymodesinopticalmicrodisksperturbedbynanoparticles.Phys. Rev. A84,063828(2011)..
Stöckmann,H.J.Quantum Chaos: An Introduction(CambridgeUniversityPress,2007).
Haake,F.Quantum Signatures of Chaos.3rdedn(Springer,2010).
Casati,G.,Guarneri,I.&Smilansky,U.Quantum Chaos(Elsevier,1993).
Jiang,X.F.etal.Chaos-assistedbroadbandmomentumtransformationinopticalmicroresonators.Science358,344–347(2017)..
Bittner,S.etal.Suppressingspatiotemporallasinginstabilitieswithwave-chaoticmicrocavities.Science361,1225–1231(2018)..
Yang,L.Fightingchaoswithchaosinlasers.Science361,1201(2018)..
Chen,L.K.etal.Regular-orbit-engineeredchaoticphotontransportinmixedphasespace.Phys. Rev. Lett.123,173903(2019)..
Harayama,T.etal.Asymmetricstationarylasingpatternsin2Dsymmetricmicrocavities.Phys. Rev. Lett.91,073903(2003)..
Shinohara,S.etal.Chaos-assisteddirectionallightemissionfrommicrocavitylasers.Phys. Rev. Lett.104,163902(2010)..
Sunada,S.etal.Signatureofwavechaosinspectralcharacteristicsofmicrocavitylasers.Phys. Rev. Lett.116,203903(2016)..
Aßmann,M.etal.Quantumchaosandbreakingofallanti-unitarysymmetriesinRydbergexcitons.Nat. Mater.15,741–745(2016)..
Hunter,A.L.etal.Rydbergcomposites.Phys. Rev. X10,031046(2020)..
Facon,A.etal.AsensitiveelectrometerbasedonaRydbergatominaSchrödinger-catstate.Nature535,262–265(2016)..
Arnal,M.etal.Chaos-assistedtunnelingresonancesinasyntheticFloquetsuperlattice.Sci. Adv.6,eabc4886(2020)..
Frisch,A.etal.Ultracolddipolarmoleculescomposedofstronglymagneticatoms.Phys. Rev. Lett.115,203201(2015)..
Frisch,A.etal.Quantumchaosinultracoldcollisionsofgas-phaseerbiumatoms.Nature507,475–479(2014)..
Ponomarenko,L.A.etal.ChaoticDiracbilliardingraphenequantumdots.Science320,356–358(2008)..
Albert,F.etal.Observingchaosforquantum-dotmicrolaserswithexternalfeedback.Nat. Commun.2,366(2011)..
Moore,F.L.etal.Observationofdynamicallocalizationinatomicmomentumtransfer:anewtestinggroundforquantumchaos.Phys. Rev. Lett.73,2974–2977(1994)..
Sá,L.,Ribeiro,P.&Prosen,T.Complexspacingratios:asignatureofdissipativequantumchaos.Phys. Rev. X10,021019(2020)..
Pandey,M.etal.Adiabaticeigenstatedeformationsasasensitiveprobeforquantumchaos.Phys. Rev. X10,041017(2020)..
Friedman,A.J.etal.Spectralstatisticsandmany-bodyquantumchaoswithconservedcharge.Phys. Rev. Lett.123,210603(2019)..
Dahan,D.,Arwas,G.&Grosfeld,E.Classicalandquantumchaosinchirally-driven,dissipativeBose-Hubbardsystems.npj Quantum Inf.8,14(2022)..
Wiersig,J.&Hentschel,M.Combiningdirectionallightoutputandultralowlossindeformedmicrodisks.Phys. Rev. Lett.100,033901(2008)..
Shim,J.B.etal.Uncertainty-limitedturnstiletransportindeformedmicrocavities.Phys. Rev. Lett.100,174102(2008)..
Qian,Y.J.etal.Regulatedphotontransportinchaoticmicrocavitiesbytailoringphasespace.Phys. Rev. Lett.127,273902(2021)..
Wiersig,J.&Hentschel,M.Unidirectionallightemissionfromhigh-Qmodesinopticalmicrocavities.Phys. Rev. A73,031802(R)(2006)..
Bäcker,A.etal.Qualityfactorsanddynamicaltunnelinginannularmicrocavities.Phys. Rev. A79,063804(2009)..
Davis,M.J.&Heller,E.J.Quantumdynamicaltunnelinginboundstates.J. Chem. Phys.75,246–254(1981)..
Keshavamurthy,S.&Schlagheck,P.Dynamical Tunneling: Theory and Experiment(Taylor&Francis,2011).
Bäcker,A.etal.Dynamicaltunnelinginmushroombilliards.Phys. Rev. Lett.100,174103(2008)..
Guarneri,I.,Casati,G.&Karle,V.Classicaldynamicallocalization.Phys. Rev. Lett.113,174101(2014)..
Bitter,M.&Milner,V.Experimentalobservationofdynamicallocalizationinlaser-kickedmolecularrotors.Phys. Rev. Lett.117,144104(2016)..
Wiersig,J.Boundaryelementmethodforresonancesindielectricmicrocavities.J. Opt. A: Pure Appl. Opt.5,53–60(2003)..
Veble,G.,Prosen,T.&Robnik,M.Expandedboundaryintegralmethodandchaotictime-reversaldoubletsinquantumbilliards.N. J. Phys.9,15(2007)..
Sakurai,T.,Futamura,Y.&Tadano,H.Efficientparameterestimationandimplementationofacontourintegral-basedeigensolver.J. Algorithms Comput. Technol.7,249–269(2013)..
Isakari,H.,Takahashi,T.&Matsumoto,T.PeriodicbandstructurecalculationbytheSakurai–Sugiuramethodwithafastdirectsolverfortheboundaryelementmethodwiththefastmultipolerepresentation.Eng. Anal. Bound. Elem.68,42–53(2016)..
Tabor,M.Chaos and Integrability in Nonlinear Dynamics: An Introduction(Wiley-Interscience,1989).
Strogatz,S.H.Nonlinear Dynamics and Chaos: With Applications to Physics,Biology,Chemistry,and Engineering.2ndedn(CRCPress,2018)..
Birkhoff,G.D.Ontheperiodicmotionsofdynamicalsystems.Acta Math.50,359–379(1927)..
Heller,E.J.Bound-stateeigenfunctionsofclassicallychaoticHamiltoniansystems:scarsofperiodicorbits.Phys. Rev. Lett.53,1515–1518(1984)..
Yi,C.H.etal.Separatrixmodesinweaklydeformedmicrodiskcavities.Opt. Express25,8048–8062(2017)..
Hentschel,M.,Schomerus,H.&Schubert,R.Husimifunctionsatdielectricinterfaces:Inside-outsidedualityforopticalsystemsandbeyond.Europhys. Lett.62,636–642(2003)..
Kim,I.etal.Husimifunctionsatgradientindexcavitiesdesignedbyconformaltransformationoptics.Opt. Express26,6851–6859(2018)..
Yi,C.H.,Park,H.C.&Park,M.J.Stronginterlayercouplingandstabletopologicalflatbandsintwistedbilayerphotonicmoirésuperlattices.Light Sci. Appl.11,289(2022)..
Sun,K.etal.Topologicalinsulatorsandnematicphasesfromspontaneoussymmetrybreakingin2dfermisystemswithaquadraticbandcrossing.Phys. Rev. Lett.103,046811(2009)..
Sodemann,I.&Fu,L.Quantumnonlinearhalleffectinducedbyberrycurvaturedipoleintime-reversalinvariantmaterials.Phys. Rev. Lett.115,216806(2015)..
Xiao,D.,Chang,M.C.&Niu,Q.Berryphaseeffectsonelectronicproperties.Rev. Mod. Phys.82,1959–2007(2010)..
Nagaosa,N.etal.AnomalousHalleffect.Rev. Mod. Phys.82,1539–1592(2010)..
Demkov,Y.N.&Osherov,V.I.Stationaryandnonstationaryproblemsinquantummechanicsthatcanbesolvedbymeansofcontourintegration.Sov. Phys. JETP26,916–921(1968)..
0
Views
0
Downloads
0
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010802024621