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dc.contributor.authorBorgonovi, F.
dc.contributor.authorIzrailev, F.M.
dc.contributor.authorSantos, Lea F.
dc.identifier.citationSantos, Lea F., Fausto Borgonovi, Felix M Izrailev. (2019). Exponentially fast dynamics of chaotic many-body systems. Physical Review E 99(1): 010101.en_US
dc.identifier.issnPrint: 2470-0045 Electronic: 2470-0053
dc.descriptionResearch article, peer-reviewed. Open Access.en_US
dc.description.abstractWe demonstrate analytically and numerically that in isolated quantum systems of many interacting particles, the number of many-body states participating in the evolution after a quench increases exponentially in time, provided the eigenstates are delocalized in the energy shell. The rate of the exponential growth is defined by the width Γ of the local density of states and is associated with the Kolmogorov-Sinai entropy for systems with a well-defined classical limit. In a finite system, the exponential growth eventually saturates due to the finite volume of the energy shell. We estimate the timescale for the saturation and show that it is much larger than ℏ/Γ. Numerical data obtained for a two-body random interaction model of bosons and for a dynamical model of interacting spin-1/2 particles show excellent agreement with the analytical predictions.en_US
dc.description.sponsorshipAcknowledgments. We acknowledge discussions with G. L. Celardo. F.B. acknowledges support by the I.S. INFNDynSysMath. F.M.I. acknowledges financial support from VIEP-BUAP Grant No. IZF-EXC16-G. L.F.S. was funded by the U.S. National Science Foundation (NSF) Grant No. DMR-1603418.en_US
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofseriesPhysical Review E;99(1)
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectQuantum statistical mechanicsen_US
dc.subjectNonequilibrium lattice modelsen_US
dc.subjectQuantum Informationen_US
dc.subjectStatistical Physicsen_US
dc.titleExponentially fast dynamics of chaotic many-body systems.en_US

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