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dc.contributor.authorBorgonovi, F.
dc.contributor.authorIzrailev, F.M.
dc.contributor.authorSantos, Lea F.
dc.identifier.citationBorgonovi, F., Izrailev, F.M., Santos, and L.F. (2018). Exponentially fast dynamics in the Fock space of chaotic man y-body systems. preprint arXiv: 1802.08265.en_US
dc.description.abstractWe demonstrate analytically and numerically that in isolated quantum systems of many interacting particles, the number of 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 �� of the local density of states (LDOS) 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 time scale for the saturation and show that it is much larger than 1/��. 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.sponsorshipAcknowledgements.– We acknowledge discussions with G. L. Celardo. FMI acknowledge financial support from VIEP-BUAP Grant No. IZF-EXC16-G. LFS was funded by the American National Science Foundation (NSF) Grant No. DMR-1603418.en_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectexponentially fast dynamicsen_US
dc.subjectFock spaceen_US
dc.subjectchaotic many body systemsen_US
dc.titleExponentially fast dynamics in the Fock space of chaotic man y-body systems.en_US

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