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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.18465 |
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| _version_ | 1866915483625717760 |
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| author | Seligmann, Steffen Holthaus, Martin |
| author_facet | Seligmann, Steffen Holthaus, Martin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18465 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Degree of simplicity of Floquet states of a periodically driven Bose-Hubbard dimer Seligmann, Steffen Holthaus, Martin Quantum Physics 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. |
| title | Degree of simplicity of Floquet states of a periodically driven Bose-Hubbard dimer |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2503.18465 |