Analysis of self-thermalization dynamics in the Bose-Hubbard model by using the pseudoclassical approach
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866918314692837376 |
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| author | Kolovsky, Andrey R. |
| author_facet | Kolovsky, Andrey R. |
| contents | We analyze the self-thermalization dynamics of the $M$-site Bose-Hubbard model in terms of the single-particle density matrix that is calculated by using the pseudoclassical approach. It is shown that a weak inter-particle interaction, which suffices to convert the integrable system of non-interacting bosons into a chaotic system, has a negligible effect on the thermal density matrix given by the Bose-Einstein distribution. This opens the door for equilibration where the two coupled Bose-Hubbard systems, which are initially in different thermal states, relax to the same thermal state. When we couple these two subsystems by using a lattice of the length $L\ll M$, we numerically calculate the quasi-stationary current of Bose particles across the lattice and show that its magnitude is consistent with the solution of the master equation for the boundary driven $L$-site Bose-Hubbard model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22553 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analysis of self-thermalization dynamics in the Bose-Hubbard model by using the pseudoclassical approach Kolovsky, Andrey R. Quantum Physics We analyze the self-thermalization dynamics of the $M$-site Bose-Hubbard model in terms of the single-particle density matrix that is calculated by using the pseudoclassical approach. It is shown that a weak inter-particle interaction, which suffices to convert the integrable system of non-interacting bosons into a chaotic system, has a negligible effect on the thermal density matrix given by the Bose-Einstein distribution. This opens the door for equilibration where the two coupled Bose-Hubbard systems, which are initially in different thermal states, relax to the same thermal state. When we couple these two subsystems by using a lattice of the length $L\ll M$, we numerically calculate the quasi-stationary current of Bose particles across the lattice and show that its magnitude is consistent with the solution of the master equation for the boundary driven $L$-site Bose-Hubbard model. |
| title | Analysis of self-thermalization dynamics in the Bose-Hubbard model by using the pseudoclassical approach |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.22553 |