Domain-wall melting and entanglement in free-fermion chains with a band structure
Viktor Eisler
SciPost Phys. Core 8, 069 (2025) · published 14 October 2025
- doi: 10.21468/SciPostPhysCore.8.4.069
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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 / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Viktor Eisler
- 1 Technische Universität Graz / Graz University of Technology
- 2 Universität Graz / University of Graz [UBG]
Funder for the research work leading to this publication
- Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])
