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Domain-wall melting and entanglement in free-fermion chains with a band structure
by Viktor Eisler
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Viktor Eisler |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2507.03780v2 (pdf) |
| Date accepted: | Sept. 23, 2025 |
| Date submitted: | Sept. 18, 2025, 8:52 a.m. |
| Submitted by: | Viktor Eisler |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
Author comments upon resubmission
Dear Editor,
we are resubmitting the manuscript after minor revision, and addressing all the issues raised by the referees.
Best regards,
Viktor Eisler
we are resubmitting the manuscript after minor revision, and addressing all the issues raised by the referees.
Best regards,
Viktor Eisler
List of changes
- extended discussion of the three-band case
- density profile added in Fig. 8, and corresponding description in the text
Published as SciPost Phys. Core 8, 069 (2025)