Domain-wall melting and entanglement in free-fermion chains with a band structure
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915554385723392 |
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| author | Eisler, Viktor |
| author_facet | Eisler, Viktor |
| contents | We study the melting of a domain wall in free-fermion chains, where the periodic variation of the hopping amplitudes gives rise to a band structure. It is shown that the entanglement grows logarithmically in time, and the prefactor is proportional to the number of filled bands in the initial state. For a dimerized chain the particle density and current are found to have the same expressions as in the homogeneous case, up to a rescaling of the velocity. The universal contribution to the entropy profile is then doubled, while the non-universal part can be extracted numerically from block-Toeplitz matrices. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_03780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Domain-wall melting and entanglement in free-fermion chains with a band structure Eisler, Viktor Statistical Mechanics Quantum Gases Quantum Physics We study the melting of a domain wall in free-fermion chains, where the periodic variation of the hopping amplitudes gives rise to a band structure. It is shown that the entanglement grows logarithmically in time, and the prefactor is proportional to the number of filled bands in the initial state. For a dimerized chain the particle density and current are found to have the same expressions as in the homogeneous case, up to a rescaling of the velocity. The universal contribution to the entropy profile is then doubled, while the non-universal part can be extracted numerically from block-Toeplitz matrices. |
| title | Domain-wall melting and entanglement in free-fermion chains with a band structure |
| topic | Statistical Mechanics Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2507.03780 |