Lieb-Robinson bounds for Bose-Hubbard Hamiltonians: A review with a simplified proof
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912984958238720 |
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| author | Lemm, Marius Rubiliani, Carla |
| author_facet | Lemm, Marius Rubiliani, Carla |
| contents | We review recent progress on state-dependent Lieb-Robinson bounds for Bose-Hubbard Hamiltonians. In particular, Kuwahara, Vu, and Saito established that, for general bounded-density initial states, the Lieb-Robinson velocity is bounded by $t^{d-1}$ for large times, where $d$ denotes the lattice dimension. We present a shorter proof of the weaker, but still polynomial velocity bound $t^{d+ε}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26209 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lieb-Robinson bounds for Bose-Hubbard Hamiltonians: A review with a simplified proof Lemm, Marius Rubiliani, Carla Mathematical Physics Analysis of PDEs Quantum Physics We review recent progress on state-dependent Lieb-Robinson bounds for Bose-Hubbard Hamiltonians. In particular, Kuwahara, Vu, and Saito established that, for general bounded-density initial states, the Lieb-Robinson velocity is bounded by $t^{d-1}$ for large times, where $d$ denotes the lattice dimension. We present a shorter proof of the weaker, but still polynomial velocity bound $t^{d+ε}$. |
| title | Lieb-Robinson bounds for Bose-Hubbard Hamiltonians: A review with a simplified proof |
| topic | Mathematical Physics Analysis of PDEs Quantum Physics |
| url | https://arxiv.org/abs/2603.26209 |