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Dynamical thermalization in Bose-Hubbard systems.

Peter Schlagheck1, Dima L Shepelyansky2

  • 1Département de Physique, University of Liege, 4000 Liège, Belgium.

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Summary
This summary is machine-generated.

Moderate interactions in a finite Bose-Hubbard ring with disorder lead to dynamical thermalization. Eigenstates align with Bose-Einstein distributions, supporting the dynamical thermalization conjecture across temperatures.

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Area of Science:

  • Quantum physics
  • Condensed matter physics

Background:

  • Bose-Hubbard model describes interacting bosons on a lattice.
  • Disorder and interactions influence quantum system dynamics.
  • Thermalization in isolated quantum systems is a key research area.

Purpose of the Study:

  • To numerically investigate dynamical thermalization in a finite Bose-Hubbard ring with disorder.
  • To analyze the role of on-site two-body interactions in driving thermalization.
  • To examine the applicability of the dynamical thermalization conjecture in this system.

Main Methods:

  • Numerical simulations of a finite Bose-Hubbard ring model.
  • Inclusion of disorder and on-site two-body interactions.
  • Analysis of many-body eigenstates and their statistical properties.

Main Results:

  • Moderate interactions induce dynamical thermalization in the disordered finite Bose-Hubbard ring.
  • Individual many-body eigenstates are described by Bose-Einstein distributions.
  • The dynamical thermalization conjecture is validated for both positive and negative temperatures.

Conclusions:

  • Dynamical thermalization is achievable in finite, disordered quantum systems with moderate interactions.
  • Bose-Einstein statistics characterize thermalized eigenstates.
  • The study provides insights into quantum chaos and ergodicity in such systems.