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

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.

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

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Topological characterization of periodically-driven quantum systems
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Quantum phase transition in a far from equilibrium steady state of XY spin chain
• Super-fermion representation of the Lindblad master equation for the electron transport problem
• Operator Space Entanglement Entropy in XY Spin Chains
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Chaos and Complexity of quantum motion
• Long range order in non-equilibrium interacting quantum spin chains
• Nonequilibrium Fock space for the electron transport problem