Pre-thermalization in a non-integrable quantum spin chain after a quench
Abstract
We study the dynamics of a quantum Ising chain after the sudden introduction of a non-integrable long-range interaction. Via an exact mapping onto a fully-connected lattice of hard-core bosons, we show that a pre-thermal state emerges and we investigate its features by focusing on a class of physically relevant observables. In order to gain insight into the eventual thermalization, we outline a diagrammatic approach which complements the study of the previous quasi-stationary state and provides the basis for a self-consistent solution of the kinetic equation. This analysis suggests that both the temporal decay towards the pre-thermal state and the crossover to the eventual thermal one may occur algebraically.
Keywords
Cite
@article{arxiv.1307.3738,
title = {Pre-thermalization in a non-integrable quantum spin chain after a quench},
author = {Matteo Marcuzzi and Jamir Marino and Andrea Gambassi and Alessandro Silva},
journal= {arXiv preprint arXiv:1307.3738},
year = {2013}
}
Comments
revised version, 5 pages, 2 figures