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dc.contributor.authorSantos, Lea F.
dc.contributor.authorBastarrachea-Magnani, M. A.
dc.contributor.authorLerma-Hernández, S.
dc.contributor.authorTorres-Herrera, E.J.
dc.contributor.authorHirsch, J.G.
dc.contributor.authorVillaseñor, D.
dc.identifier.citationSantos, Lea F., S. Lerma-Hernández, D. Villaseñor, M. A. Bastarrachea-Magnani, E. J. Torres-Herrera, and J. G. Hirsch. (2019). Dynamical signatures of quantum chaos and relaxation time scales in a spin-boson system. Physical Review E 100(1): 012218,en_US
dc.identifier.issnPrint: 1539-3755 Electronic: 1550-2376
dc.descriptionResearch article, peer-reviewed. Open access.en_US
dc.description.abstractQuantum systems whose classical counterparts are chaotic typically have highly correlated eigenvalues and level statistics that coincide with those from ensembles of full random matrices. A dynamical manifestation of these correlations comes in the form of the so-called correlation hole, which is a dip below the saturation point of the survival probability's time evolution. In this work, we study the correlation hole in the spin-boson (Dicke) model, which presents a chaotic regime and can be realized in experiments with ultracold atoms and ion traps. We derive an analytical expression that describes the entire evolution of the survival probability and allows us to determine the time scales of its relaxation to equilibrium. This expression shows remarkable agreement with our numerical results. While the initial decay and the time to reach the minimum of the correlation hole depend on the initial state, the dynamics beyond the hole up to equilibration is universal. We find that the relaxation time of the survival probability for the Dicke model increases linearly with system size.en_US
dc.description.sponsorshipWe acknowledge the support of the Computation Center-ICN, in particular to Enrique Palacios, Luciano Díaz, and Eduardo Murrieta. D.V., J.G.H., M.A.B.-M., and S.L.-H. ac-knowledge Jorge Chávez-Carlos for fruitful discussions and his technical support. E.J.T.-H. acknowledges funding from VIEP-BUAP (Grants No. MEBJ-EXC19-G and No. LUAG-EXC19-G), Mexico. L.F.S. is supported by the NSF Grant No. DMR-1603418. S.L.-H. acknowledges financial support from CONACYT Project No. CB2015-01/255702. J.G.H. and D.V. acknowledge funding from DGAPA-UNAM Project No.IN109417.en_US
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofseriesPhysical Review E;100(1)
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectQuantum statistical mechanicsen_US
dc.subjectquantum chaosen_US
dc.subjectquantum quenchen_US
dc.subjectDicke modelen_US
dc.subjectrandom matrix theoryen_US
dc.titleDynamical signatures of quantum chaos and relaxation time scales in a spin-boson system.en_US

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