Entanglement evolution and generalised hydrodynamics: interacting integrable systems
Statistical Mechanics
2019-07-10 v3 Quantum Gases
Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1903.00467,
title = {Entanglement evolution and generalised hydrodynamics: interacting integrable systems},
author = {Vincenzo Alba and Bruno Bertini and Maurizio Fagotti},
journal= {arXiv preprint arXiv:1903.00467},
year = {2019}
}
Comments
33 pages, 8 figures; v2 32 pages, 8 figures, improved presentation; v3 32 pages, 8 figures, minor modifications