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Entropy 2016, 18(10), 359; doi:10.3390/e18100359

Realistic Many-Body Quantum Systems vs. Full Random Matrices: Static and Dynamical Properties

1
Instituto de Física, Universidad Autónoma de Puebla, Apt. Postal J-48, Puebla 72570, Mexico
2
Department of Physics, Yeshiva University, New York, NY 10016, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Jay Lawrence
Received: 19 August 2016 / Revised: 18 September 2016 / Accepted: 29 September 2016 / Published: 8 October 2016
(This article belongs to the Special Issue Quantum Information 2016)
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Abstract

We study the static and dynamical properties of isolated many-body quantum systems and compare them with the results for full random matrices. In doing so, we link concepts from quantum information theory with those from quantum chaos. In particular, we relate the von Neumann entanglement entropy with the Shannon information entropy and discuss their relevance for the analysis of the degree of complexity of the eigenstates, the behavior of the system at different time scales and the conditions for thermalization. A main advantage of full random matrices is that they enable the derivation of analytical expressions that agree extremely well with the numerics and provide bounds for realistic many-body quantum systems. View Full-Text
Keywords: many-body quantum systems; random matrices; quantum chaos; power law decays many-body quantum systems; random matrices; quantum chaos; power law decays
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MDPI and ACS Style

Torres-Herrera, E.J.; Karp, J.; Távora, M.; Santos, L.F. Realistic Many-Body Quantum Systems vs. Full Random Matrices: Static and Dynamical Properties. Entropy 2016, 18, 359.

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