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

• URL: http://arxiv.org/abs/2503.18465v2
• Date: Sun, 07 Sep 2025 12:35:22 GMT
• Title: Degree of simplicity of Floquet states of a periodically driven Bose-Hubbard dimer
• Authors: Steffen Seligmann, Martin Holthaus,
• Abstract summary: We investigate numerically computed numerically Floquet states of a Bose-Hubbard dimer which is subjected to strong, time-periodic forcing.<n>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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate numerically computed Floquet states of a Bose-Hubbard dimer which 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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