Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/6451
Title: | Exponentially fast dynamics of chaotic many-body systems. |
Authors: | Borgonovi, F. Izrailev, F.M. Santos, Lea F. 0000-0001-9400-2709 |
Keywords: | Quantum statistical mechanics Nonequilibrium lattice models Quantum Information Statistical Physics |
Issue Date: | 2-Jan-2019 |
Publisher: | American Physical Society |
Citation: | Santos, Lea F., Fausto Borgonovi, Felix M Izrailev. (2019). Exponentially fast dynamics of chaotic many-body systems. Physical Review E 99(1): 010101. |
Series/Report no.: | Physical Review E;99(1) |
Abstract: | We 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. |
Description: | Research article, peer-reviewed. Open Access. |
URI: | https://doi.org/10.1103/PhysRevE.99.010101 https://hdl.handle.net/20.500.12202/6451 |
ISSN: | Print: 2470-0045 Electronic: 2470-0053 |
Appears in Collections: | Stern College for Women -- Faculty Publications |
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Santos Exponentially fast 2019 OA PhysRevE.99.010101.pdf | 294.61 kB | Adobe PDF | View/Open |
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