Equilibration and “Thermalization” in the Adapted Caldeira–Leggett Model

Albrecht, Andreas

doi:10.3390/e24030316

Equilibration and “Thermalization” in the Adapted Caldeira–Leggett Model

Journal Article · Wed Feb 23 00:00:00 EST 2022 · Entropy

DOI:https://doi.org/10.3390/e24030316· OSTI ID:1983108

^[1]

University of California, Davis, CA (United States)

I explore the processes of equilibration exhibited by the Adapted Caldeira–Leggett (ACL) model, a small unitary “toy model” developed for numerical studies of quantum decoherence between an SHO and an environment. I demonstrate how dephasing allows equilibration to occur in a wide variety of situations. While the finite model size and other “unphysical” aspects prevent the notions of temperature and thermalization from being generally applicable, certain primitive aspects of thermalization can be realized for particular parameter values. I link the observed behaviors to intrinsic properties of the global energy eigenstates, and argue that the phenomena I observe contain elements which might be key ingredients that lead to ergodic behavior in larger more realistic systems. The motivations for this work range from curiosity about phenomena observed in earlier calculations with the ACL model to much larger questions related to the nature of equilibrium, thermalization, and the emergence of physical laws.

View Accepted Manuscript (DOE)

Research Organization:: University of California, Davis, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI ID:: 1983108

Journal Information:: Entropy, Journal Name: Entropy Journal Issue: 3 Vol. 24; ISSN 1099-4300

Publisher:: MDPICopyright Statement

Country of Publication:: United States

Language:: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
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thermalization

Equilibration and “Thermalization” in the Adapted Caldeira–Leggett Model

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References (16)

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