Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/4289
Title: | Exponentially fast dynamics in the Fock space of chaotic man y-body systems. |
Authors: | Borgonovi, F. Izrailev, F.M. Santos, Lea F. 0000-0001-9400-2709 |
Keywords: | exponentially fast dynamics Fock space chaotic many body systems |
Issue Date: | 22-Feb-2018 |
Publisher: | arXiv.org |
Citation: | Borgonovi, 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. |
Series/Report no.: | arXiv; |
Abstract: | We 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. |
URI: | https://arxiv.org/pdf/1802.08265.pdf https://hdl.handle.net/20.500.12202/4289 |
ISSN: | 2331-8422 |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Santos arxiv exponentially fast dynamics 20181802.08265.pdf | arxiv preprint | 358.21 kB | Adobe PDF | View/Open |
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