Dynamical manifestation of Gibbs paradox after a quantum quench
Abstract
We study the propagation of entanglement after quantum quenches in the non-integrable para-magnetic quantum Ising spin chain. Tuning the parameters of the system, we observe a sudden increase in the entanglement production rate, which we show to be related to the appearance of new quasi-particle excitations in the post-quench spectrum. We argue that the phenomenon is the non-equilibrium version of the well-known Gibbs paradox related to mixing entropy and demonstrate that its characteristics fit the expectations derived from the quantum resolution of the paradox in systems with a non-trivial quasi-particle spectrum.
Keywords
Cite
@article{arxiv.1801.05817,
title = {Dynamical manifestation of Gibbs paradox after a quantum quench},
author = {M. Collura and M. Kormos and G. Takacs},
journal= {arXiv preprint arXiv:1801.05817},
year = {2018}
}
Comments
6+4 pages, LaTeX2e (pdflatex), 11 pdf figures. v2: substantially expanded version, main results unchanged. 13 pages, 15 pdf and 2 png figures