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dc.contributor.authorLerma-Hernández, S.
dc.contributor.authorVillaseñor, D.
dc.contributor.authorBastarrachea-Magnani, M. A.
dc.contributor.authorTorres-Herrera, E.J.
dc.contributor.authorSantos, Lea F.
dc.contributor.authorHirsch, J.G.
dc.identifier.citationLerma-Hernández, S. ; Villaseñor, D. ; Bastarrachea-Magnani, M. A. ; Torres-Herrera, E. J. ; Santos, L.F. ; Hirsch, J.G. (10 May 2019). Dynamical signatures of quantum chaos and relaxation timescales in a spin-boson system. Phys. Rev. E 100, 012218 .en_US
dc.descriptionScholarly articleen_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 timescales 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.sponsorshipACKNOWLEDGEMENTS We acknowledge the support of the Computation Center-ICN, in particular to Enrique Palacios, Luciano Diaz and Eduardo Murrieta. D.V, J.G.H, M.A.B.-M. and S.L.-H ac-knowledge Jorge Ch´avez-Carlos for fruitful discussions and his technical support. E.J.T.-H. acknowledges funding from VIEP-BUAP (Grant Nos. MEBJ-EXC19-G, LUAG- EXC19-G), Mexico. L.F.S. is supported by the NSF Grant No. DMR-1603418. S.L.-H. acknowledges financial support from Mexican CONACyT project CB2015-01/255702, J.G.H. and D.V. acknowledge funding from DGAPA- UNAM project IN109417.en_US
dc.publisherPhilip Allan Publishers Limiteden_US
dc.relation.ispartofseriesStatistical Mechanics (cond-mat.stat-mech);
dc.relation.ispartofseriesPhysics Review E;012218 (2019)
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectStatistical Mechanics (cond-mat.stat-mech)en_US
dc.subjectQuantum Physics (quant-ph)en_US
dc.subjectspin-boson systemen_US
dc.titleDynamical signatures of quantum chaos and relaxation timescales in a spin-boson system.en_US

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