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dc.contributor.authorSantos, Lea F.
dc.contributor.authorPilatowsky-Cameo, Saúl
dc.contributor.authorVillaseñor, David
dc.contributor.authorBastarrachea-Magnani, Miguel A.
dc.contributor.authorLerma-Hernández, Sergio
dc.contributor.authorHirsch, Jorge G.
dc.identifier.citationSantos, L.F., Pilatowsky-Cameo, S., Villaseñor, D., Bastarrachea-Magnani, M.A. et al. Ubiquitous quantum scarring does not prevent ergodicity. Nat Commun 12, 852 (2021).
dc.identifier.issn2041-1723 (online)
dc.descriptionResearch article / Open Accessen_US
dc.description.abstractIn a classically chaotic system that is ergodic, any trajectory will be arbitrarily close to any point of the available phase space after a long time, filling it uniformly. Using Born’s rules to connect quantum states with probabilities, one might then expect that all quantum states in the chaotic regime should be uniformly distributed in phase space. This simplified picture was shaken by the discovery of quantum scarring, where some eigenstates are concentrated along unstable periodic orbits. Despite that, it is widely accepted that most eigenstates of chaotic models are indeed ergodic. Our results show instead that all eigenstates of the chaotic Dicke model are actually scarred. They also show that even the most random states of this interacting atom-photon system never occupy more than half of the available phase space. Quantum ergodicity is achievable only as an ensemble property, after temporal averages are performed.en_US
dc.description.sponsorshipAcknowledgements We thank D. Wisniacki for his valuable comments and acknowledge the support of the Computation Center - ICN, in particular of Enrique Palacios, Luciano Díaz, and Eduardo Murrieta. S.P.-C., D.V. and J.G.H. acknowledge financial support from the DGAPA- UNAM project IN104020, and SL-H from the Mexican CONACyT project CB2015-01/255702. LFS was supported by the NSF grant No. DMR-1936006.en_US
dc.relation.ispartofseriesNature Communications;12 (852)
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectquantum scarringen_US
dc.subjectchaotic modelsen_US
dc.titleUbiquitous quantum scarring does not prevent ergodicity.en_US

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