Chaos and Thermalization in the Spin-Boson Dicke Model
Name
entropy-25-00008.pdf
Size
5.79 MB
Format
Adobe PDF
Checksum (MD5)
199560512277a1e1909005b08ed3afb6
Author(s)
Villaseñor, David
Pilatowsky-Cameo, Saúl
Bastarrachea-Magnani, Miguel A.
Lerma-Hernández, Sergio
Santos, Lea F.
Hirsch, Jorge G.
Date Issued
December 21, 2022
Publisher
Multidisciplinary Digital Publishing Institute
Citation
Entropy 25 (1): 8 (2023)
Version
Final published version
Abstract
We present a detailed analysis of the connection between chaos and the onset of thermalization in the spin-boson Dicke model. This system has a well-defined classical limit with two degrees of freedom, and it presents both regular and chaotic regions. Our studies of the eigenstate expectation values and the distributions of the off-diagonal elements of the number of photons and the number of excited atoms validate the diagonal and off-diagonal eigenstate thermalization hypothesis (ETH) in the chaotic region, thus ensuring thermalization. The validity of the ETH reflects the chaotic structure of the eigenstates, which we corroborate using the von Neumann entanglement entropy and the Shannon entropy. Our results for the Shannon entropy also make evident the advantages of the so-called “efficient basis” over the widespread employed Fock basis when investigating the unbounded spectrum of the Dicke model. The efficient basis gives us access to a larger number of converged states than what can be reached with the Fock basis.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.3390/e25010008
