Domain-wall melting and entanglement in free-fermion chains with a band structure
arXiv:2507.03780 · doi:10.21468/SciPostPhysCore.8.4.069
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.
23 pages, 9 figures, minor revision
References in corpus (27)
- Quantum Noise as an Entanglement Meter
- Full counting statistics in a propagating quantum front and random matrix spectra
- Entanglement from Charge Statistics: Exact Relations for Many-Body Systems
- Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
- Logarithmic current fluctuations in non-equilibrium quantum spin chains
- Dynamics of the spin-1/2 Heisenberg chain initialized in a domain-wall state
- Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence for spin transport
- Universal front propagation in the quantum Ising chain with domain-wall initial states
- Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain
- Entanglement in the XX spin chain with an energy current
- Entanglement entropy in quantum spin chains with finite range interaction
- A short introduction to Generalized Hydrodynamics
- Magnetization and entanglement after a geometric quench in the XXZ chain
- Free fermions at the edge of interacting systems
- Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
- Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
- Domain wall melting across a defect
- Exact large deviation function of spin current for the one dimensional XX spin chain with domain wall initial condition
- Fluctuations in subsystems of the zero temperature XX chain: Emergence of an effective temperature
- Extensive Long-Range Entanglement in a Nonequilibrium Steady State
- Scaling of fronts and entanglement spreading during a domain wall melting
- Stationary time correlations for fermions after a quench in the presence of an impurity
- Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension
- Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
- Asymptotics of block Toeplitz determinants with piecewise continuous symbols
- Quantum propagating front and the edge of the Wigner function
- Quantum Transport in Interacting Spin Chains: Exact Derivation of the GUE Tracy-Widom Distribution