Exponentially fast dynamics of chaotic many-body systems
| Autor: | Fausto Borgonovi, Lea F. Santos, Felix M. Izrailev |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
Physics Quantum Physics Local density of states Finite volume method Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences 01 natural sciences Classical limit 010305 fluids & plasmas High Energy Physics - Theory (hep-th) Exponential growth 0103 physical sciences Settore FIS/02 - FISICA TEORICA MODELLI E METODI MATEMATICI Statistical physics Quantum information Quantum Physics (quant-ph) 010306 general physics Quantum statistical mechanics Entropy (arrow of time) Condensed Matter - Statistical Mechanics Boson quantum chaos quantum many body systems |
| Popis: | 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 $\Gamma$ 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 $\hbar/\Gamma$. 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. Comment: 11 pages, 5 figures (as published) |
| Databáze: | OpenAIRE |
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