Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12202/4280
Title: Realistic Many-Body Quantum Systems vs. Full Random Matrices: Static and Dynamical Properties.
Authors: Santos, Lea F.
Torres-Herrera, Eduardo Jonathan
Tavora, Marco
0000-0001-9400-2709
Keywords: many-body quantum systems
random matrices
quantum chaos
power law decays
Issue Date: 2016
Publisher: MDPI
Citation: Torres-Herrera, E.J., Karp, J., Tavora, M., and Santos, L.F. (2016). Realistic Many-Body Quantum Systems vs. Full Random Matrices: Static and Dynamical Properties. Entropy 18(10): 359.
Series/Report no.: Entropy;18(10)
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.
Description: Author Contributions: Eduardo Jonathan Torres-Herrera got the data. All authors, Eduardo Jonathan Torres-Herrera, Jonathan Karp, Marco Távora and Lea F. Santos, shared the data analysis. Lea F. Santos conceived and wrote the paper. The computer codes were written by Eduardo Jonathan Torres-Herrera and Lea F. Santos. Conflicts of Interest: The authors declare no conflict of interest.
URI: https://doi.org/10.3390/e18100359
https://hdl.handle.net/20.500.12202/4280
ISSN: 1099-4300
Appears in Collections:Stern College for Women -- Faculty Publications

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