Eigenstate thermalization to non-monotonic distributions in strongly-interacting chaotic lattice gases

Fuente: arXiv
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Autori principali: Yurovsky, Vladimir A., Vardi, Amichay
Natura: Preprint
Pubblicazione: 2025
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author Yurovsky, Vladimir A.
Vardi, Amichay
author_facet Yurovsky, Vladimir A.
Vardi, Amichay
contents We find non-monotonic equilibrium energy distributions, qualitatively different from the Fermi-Dirac and Bose-Einstein forms, in strongly-interacting many-body chaotic systems. The effect emerges in systems with finite energy spectra, supporting both positive and negative temperatures, in the regime of quantum ergodicity. The results are supported by exact diagonalization calculations for chaotic Fermi-Hubbard and Bose-Hubbard models, when they have Wigner-Dyson statistics of energy spectra and demonstrate eigenstate thermalization. The proposed effects may be observed in experiments with cold atoms in optical lattices.
format Preprint
id arxiv_https___arxiv_org_abs_2501_08967
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Eigenstate thermalization to non-monotonic distributions in strongly-interacting chaotic lattice gases
Yurovsky, Vladimir A.
Vardi, Amichay
Quantum Gases
Chaotic Dynamics
Atomic Physics
Quantum Physics
We find non-monotonic equilibrium energy distributions, qualitatively different from the Fermi-Dirac and Bose-Einstein forms, in strongly-interacting many-body chaotic systems. The effect emerges in systems with finite energy spectra, supporting both positive and negative temperatures, in the regime of quantum ergodicity. The results are supported by exact diagonalization calculations for chaotic Fermi-Hubbard and Bose-Hubbard models, when they have Wigner-Dyson statistics of energy spectra and demonstrate eigenstate thermalization. The proposed effects may be observed in experiments with cold atoms in optical lattices.
title Eigenstate thermalization to non-monotonic distributions in strongly-interacting chaotic lattice gases
topic Quantum Gases
Chaotic Dynamics
Atomic Physics
Quantum Physics
url https://arxiv.org/abs/2501.08967