Splitting a critical spin chain
Abstract
We study a quench protocol that conserves the entanglement spectrum of a bipartition of a quantum system. As an example we consider the splitting of a critical Ising chain in two chains, and compare it with the well known case of joining of two chains. We show that both the out of equilibrium time evolution of global properties and the equilibrium regime after the quench of local properties are different in the two scenarios. Since the two quenches only differ in the presence/absence of the conservation of the entanglement spectrum, our results suggest that this conservation plays a fundamental role in both the out-of-equilibrium dynamics and the subsequent equilibration mechanism. We discuss the relevance of our results in the context of quantum simulators.
Cite
@article{arxiv.1401.7916,
title = {Splitting a critical spin chain},
author = {Alejandro Zamora and Javier Rodriguez-Laguna and Maciej Lewenstein and Luca Tagliacozzo},
journal= {arXiv preprint arXiv:1401.7916},
year = {2014}
}
Comments
15 pages, 17 figures invited contribution to the special issue on Entanglement Entropies of JSTAT