Entanglement evolution and generalised hydrodynamics: interacting integrable systems
Vincenzo Alba, Bruno Bertini, Maurizio Fagotti
SciPost Phys. 7, 005 (2019) · published 8 July 2019
- doi: 10.21468/SciPostPhys.7.1.005
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Abstract
We investigate the dynamics of bipartite entanglement after the sudden junction of two leads in interacting integrable models. By combining the quasiparticle picture for the entanglement spreading with Generalised Hydrodynamics we derive an analytical prediction for the dynamics of the entanglement entropy between a finite subsystem and the rest. We find that the entanglement rate between the two leads depends only on the physics at the interface and differs from the rate of exchange of thermodynamic entropy. This contrasts with the behaviour in free or homogeneous interacting integrable systems, where the two rates coincide.
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Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Vincenzo Alba,
- 4 Bruno Bertini,
- 5 Maurizio Fagotti
- 1 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 2 Istituto Nazionale di Fisica Nucleare (presso la SISSA) / National Institute of Nuclear Physics (at SISSA) [INFN at SISSA]
- 3 Universiteit van Amsterdam / University of Amsterdam [UvA]
- 4 Univerza v Ljubljani / University of Ljubljana [UL]
- 5 Laboratoire de Physique Théorique et Modèles Statistiques [LPTMS]
- Agence Nationale de la Recherche [ANR]
- Erwin Schrödinger International Institute for Mathematics and Physics [ESI]
- European Research Council [ERC]
- FP7 People: Marie-Curie Actions (FP7 People) (through Organization: European Commission [EC])
- Javna Agencija za Raziskovalno Dejavnost RS / Slovenian Research Agency [ARRS]