Domain-wall melting and entanglement in free-fermion chains with a band structure

2025/07/04 by Eisler, Viktor
#FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2507.03780

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.

Citations

• Quantum Transport in Interacting Spin Chains: Exact Derivation of the GUE Tracy-Widom Distribution
• Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
• Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State
• Quantum propagating front and the edge of the Wigner function
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Random Domino Tilings and the Arctic Circle Theorem

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