Dynamics of the Bose-Hubbard Model Induced by On-Site or Long-Range Two-Body Losses
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913859844964352 |
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| author | Despres, Julien Mazza, Leonardo Schirò, Marco |
| author_facet | Despres, Julien Mazza, Leonardo Schirò, Marco |
| contents | We present a theoretical study of the dissipative dynamics of the Bose-Hubbard model induced by on-site or long-range two-body losses. We first consider the one-dimensional chain and the two-dimensional square lattice, and study the dynamics induced by the sudden switch-on of two-body losses on a weakly-interacting superfluid state. The time-dependent density is obtained in the spirit of the Bogolyubov approach by calculating theoretically the equations of motion associated to the relevant quadratic bosonic correlators. In the one-dimensional case, our results compare very well with quasi-exact numerical calculations based on the quantum jump method implemented using tensor networks. We find that the intermediate-time dynamics of the density displays an algebraic decay characterized by an interaction-dependent power-law exponent. The latter property still holds for long-range two-body loss processes but it is absent in the two-dimensional square lattice with on-site losses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09008 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamics of the Bose-Hubbard Model Induced by On-Site or Long-Range Two-Body Losses Despres, Julien Mazza, Leonardo Schirò, Marco Quantum Gases Quantum Physics We present a theoretical study of the dissipative dynamics of the Bose-Hubbard model induced by on-site or long-range two-body losses. We first consider the one-dimensional chain and the two-dimensional square lattice, and study the dynamics induced by the sudden switch-on of two-body losses on a weakly-interacting superfluid state. The time-dependent density is obtained in the spirit of the Bogolyubov approach by calculating theoretically the equations of motion associated to the relevant quadratic bosonic correlators. In the one-dimensional case, our results compare very well with quasi-exact numerical calculations based on the quantum jump method implemented using tensor networks. We find that the intermediate-time dynamics of the density displays an algebraic decay characterized by an interaction-dependent power-law exponent. The latter property still holds for long-range two-body loss processes but it is absent in the two-dimensional square lattice with on-site losses. |
| title | Dynamics of the Bose-Hubbard Model Induced by On-Site or Long-Range Two-Body Losses |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2502.09008 |