Non-equilibrium phase transition in a periodically driven XY spin chain
Statistical Mechanics
2011-08-09 v2 Quantum Physics
Abstract
We present a general formulation of Floquet states of periodically time-dependent open Markovian quasi-free fermionic many-body systems in terms of a discrete Lyapunov equation. Illustrating the technique, we analyze periodically kicekd XY spin 1/2 chain which is coupled to a pair of Lindblad reservoirs at its ends. A complex phase diagram is reported with re-entrant phases of long range and exponentially decaying spin-spin correlations as some of the system's parameters are varied. The structure of phase diagram is reproduced in terms of counting non-trivial stationary points of Floquet quasi-particle dispersion relation.
Keywords
Cite
@article{arxiv.1103.4710,
title = {Non-equilibrium phase transition in a periodically driven XY spin chain},
author = {Tomaz Prosen and Enej Ilievski},
journal= {arXiv preprint arXiv:1103.4710},
year = {2011}
}
Comments
5 pages in RevTex 4-1, with 3 figures (2 in png and 1 in pdf format) and 1 page of supplementary material