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Degree of simplicity of Floquet states of a periodically driven Bose-Hubbard dimer

Steffen Seligmann and Martin Holthaus*

  • *Contact author: martin.holthaus@uol.de
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Phys. Rev. Research 7, 033168 – Published 20 August, 2025

DOI: https://doi.org/10.1103/nqg9-788r

Abstract

We investigate numerically computed Floquet states of a Bose-Hubbard dimer that is subjected to strong, time-periodic forcing with respect to their coherence, invoking a measure for their degree of simplicity previously suggested by Leggett. This serves to ascertain the validity of the mean-field approximation under conditions such that the time-dependent nonlinear Gross-Pitaevskii equation has chaotic solutions. It is shown that for sufficiently large particle numbers the exact N-particle Floquet state semiclassically associated with the innermost quantized invariant tube surrounding a stable periodic mean-field orbit represents a macroscopically occupied single-particle state, i.e., a Floquet condensate.

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Phys. Rev. Research 7, 033168– Published 20 August, 2025
  • Received 16 March 2025
  • Accepted 18 July 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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