Domain wall melting across a defect

Abstract

We study the melting of a domain wall in a free-fermionic chain with a localised impurity. We find that the defect enhances quantum correlations in such a way that even the smallest scatterer leads to a linear growth of the entanglement entropy contrasting the logarithmic behaviour in the clean system. Exploiting the hydrodynamic approach and the quasiparticle picture, we provide exact predictions for the evolution of the entanglement entropy for arbitrary bipartitions. In particular, the steady production of pairs at the defect gives rise to non-local correlations among distant points. We also characterise the subleading logarithmic corrections, highlighting some universal features.

6 pages, 6 figures

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• Wigner dynamics for quantum gases under inhomogeneous gain and loss processes with dephasing
• Zero-mode entanglement across a conformal defect
• Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state
• Entanglement in dual unitary quantum circuits with impurities
• Extensive Long-Range Entanglement at Finite Temperatures from a Nonequilibrium Bias
• A hydrodynamic approach to Stark localization
• Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
• Enhanced correlations due to ballistic transport
• Exact solution to a Bhatnagar-Gross-Krook-type equation for quantum lattice gases with dephasing noise
• Domain-wall melting and entanglement in free-fermion chains with a band structure
• Inhomogeneous quenches and GHD in the $\nu =1$ QSSEP model
• Domain-wall melting in all-to-all QSSEP from random-matrix theory