Non-equilibrium phase transition in a periodically driven XY spin chain

Details Non-equilibrium phase transition in a periodically driven XY spin chain Non-equilibrium phase transition in a periodically driven XY spin chain

2011-03-24

arxiv.org/abs/1103.4710v2

Phys. Rev. Lett. 107, 060403 (2011)

Physics

Condensed Matter

Statistical Mechanics

5 pages in RevTex 4-1, with 3 figures (2 in png and 1 in pdf format) and 1 page of supplementary material

Scientific paper

10.1103/PhysRevLett.107.060403

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.

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