Tail-induced equilibration in long-range interacting quantum lattices
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909522313871360 |
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| author | Li, Wei-Han |
| author_facet | Li, Wei-Han |
| contents | We examine the relation between inter-particle interactions and real-time equilibration in one-dimensional lattice systems with hard-core constraints. Focusing on the roles of interactions, our results demonstrate that in the presence of interaction tails, any power-law exponent (including the limit ones) can encode the random particle configurations to the Hamiltonian, leaving the latter characterized by random matrices. Through an experimental-accessible setup using dipolar-interacting particles in optical lattices, the quenched relaxations are demonstrated resulting in equilibrium, and the relation between eigenstate thermalization is confirmed. Our study directly unveiled the role of inter-particle interactions in quantum many-body dynamics, offering a new scheme to address equilibration in closed quantum many-body problem based on the manifesting of random particle configurations in the model Hamiltonian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01486 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tail-induced equilibration in long-range interacting quantum lattices Li, Wei-Han Quantum Gases We examine the relation between inter-particle interactions and real-time equilibration in one-dimensional lattice systems with hard-core constraints. Focusing on the roles of interactions, our results demonstrate that in the presence of interaction tails, any power-law exponent (including the limit ones) can encode the random particle configurations to the Hamiltonian, leaving the latter characterized by random matrices. Through an experimental-accessible setup using dipolar-interacting particles in optical lattices, the quenched relaxations are demonstrated resulting in equilibrium, and the relation between eigenstate thermalization is confirmed. Our study directly unveiled the role of inter-particle interactions in quantum many-body dynamics, offering a new scheme to address equilibration in closed quantum many-body problem based on the manifesting of random particle configurations in the model Hamiltonian. |
| title | Tail-induced equilibration in long-range interacting quantum lattices |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2503.01486 |