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Entanglement evolution across defects in critical anisotropic Heisenberg chains

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arxiv 1302.4274 v2 pith:BNPA3BSZ submitted 2013-02-18 cond-mat.stat-mech

Entanglement evolution across defects in critical anisotropic Heisenberg chains

classification cond-mat.stat-mech
keywords entanglementdefectevolutioninteractionanisotropicbondchainsdelta
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the out-of-equilibrium time evolution after a local quench connecting two anisotropic spin-1/2 XXZ Heisenberg open chains via an impurity bond. The dynamics is obtained by means of the adaptive time-dependent density-matrix renormalization group. We show that the entanglement entropies (Von Neumann and R\'enyi), in the presence of a weakened bond depend on the sign of the bulk interaction. For attractive interaction (\Delta< 0), the defect turns out to be irrelevant and the evolution is asymptotically equivalent to the one without defect obtained by conformal field theory. For repulsive interaction (\Delta>0), the defect is relevant and the entanglement saturates to a finite value. This out-of-equilibrium behavior generalizes the well known results for the ground-state entanglement entropy of the model.

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Cited by 1 Pith paper

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  1. Boundary quenches in (1+1)-dimensional conformal field theory

    cond-mat.stat-mech 2026-07 accept novelty 7.0

    A boundary quench in a (1+1)-d CFT makes one-point functions switch from old to new ground state across a light cone and makes adjacent-region entanglement jump by log(g_b/g_a).