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dc.contributor.authorSantos, Lea F.
dc.contributor.authorPilatowsky-Cameo, Saúl
dc.contributor.authorChávez-Carlos, Jorge
dc.contributor.authorBastarrachea-Magnani, Miguel A.
dc.contributor.authorStránský, Pavel
dc.contributor.authorHirsch, Jorge G.
dc.identifier.citationSantos, Lea F., Saúl Pilatowsky-Cameo, Jorge Chávez-Carlos, Miguel A. Bastarrachea-Magnani, Pavel Stránský, Sergio Lerma-Hernández, and Jorge G. Hirsch. (22 January 2020). Positive quantum Lyapunov exponents in experimental systems with a regular classical limit. Phys. Rev. E 101, 010202(R)en_US
dc.descriptionResearch article/ peer-reviewed. Open-Access.en_US
dc.description.abstractQuantum chaos refers to signatures of classical chaos found in the quantum domain. Recently, it has become common to equate the exponential behavior of out-of-time order correlators (OTOCs) with quantum chaos. The quantum-classical correspondence between the OTOC exponential growth and chaos in the classical limit has indeed been corroborated theoretically for some systems and there are several projects to do the same experimentally. The Dicke model, in particular, which has a regular and a chaotic regime, is currently under intense investigation by experiments with trapped ions. We show, however, that for experimentally accessible parameters, OTOCs can grow exponentially also when the Dicke model is in the regular regime. The same holds for the Lipkin-Meshkov-Glick model, which is integrable and also experimentally realizable. The exponential behavior in these cases are due to unstable stationary points, not to chaos.en_US
dc.description.sponsorshipAcknowledgments.We thank J. Dale for helping us with the proof of Eq. (S4) in the SM [49], and E. Palacios, L. Díaz,and E. Murrieta of the Computation Center–ICN for their support. M.A.B.M. is grateful to J. D. Urbina and K. Richter for their hospitality and the opportunity for the exchange of ideas. P.S. is grateful to P. Cejnar for stimulating discussions.We acknowledge financial support from Mexican CONACYT Project No. CB2015-01/255702 and DGAPA, UNAM Project No. IN109417. P.S. is supported by the Charles University Research Center UNCE/SCI/013. L.F.S. is supported by NSFGrant No. DMR-1603418. L.F.S. and J.G.H. acknowledge the hospitality of the Aspen Center for Physics and the Simons Center for Geometry and Physics at Stony Brook University,where some of the research for this Rapid Communication was performeden_US
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofseriesPhysical Review Research;101
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectquantum chaosen_US
dc.subjecttrapped ionsen_US
dc.subjectDicke modelen_US
dc.titlePositive quantum Lyapunov exponents in experimental systems with a regular classical limit.en_US

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