Spectral statistics of driven Bose-Hubbard models
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909170059444224 |
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| author | Mateos, Jesús Sols, Fernando Creffield, Charles |
| author_facet | Mateos, Jesús Sols, Fernando Creffield, Charles |
| contents | We study the spectral statistics of a one-dimensional Bose-Hubbard model subjected to kinetic driving; a form of Floquet engineering where the kinetic energy is periodically driven in time with a zero time-average. As the amplitude of the driving is increased, the ground state of the resulting flat-band system passes from the Mott insulator regime to an exotic superfluid. We show that this transition is associated with a change in the system's spectral statistics from Poisson to GOE-type. Remarkably, and unlike in the conventional Bose-Hubbard model, which we use as a benchmark, the details of the GOE statistics are sensitive to the parity of both the particle number and the lattice sites. We show how this effect arises from a hidden symmetry of the Hamiltonian produced by this form of Floquet driving. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_09785 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Spectral statistics of driven Bose-Hubbard models Mateos, Jesús Sols, Fernando Creffield, Charles Quantum Gases We study the spectral statistics of a one-dimensional Bose-Hubbard model subjected to kinetic driving; a form of Floquet engineering where the kinetic energy is periodically driven in time with a zero time-average. As the amplitude of the driving is increased, the ground state of the resulting flat-band system passes from the Mott insulator regime to an exotic superfluid. We show that this transition is associated with a change in the system's spectral statistics from Poisson to GOE-type. Remarkably, and unlike in the conventional Bose-Hubbard model, which we use as a benchmark, the details of the GOE statistics are sensitive to the parity of both the particle number and the lattice sites. We show how this effect arises from a hidden symmetry of the Hamiltonian produced by this form of Floquet driving. |
| title | Spectral statistics of driven Bose-Hubbard models |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2306.09785 |