Explicit solution of the Lindblad equation for nearly isotropic boundary driven XY spin 1/2 chain

Abstract

Explicit solution for the 2-point correlation function in a non-equilibrium steady state of a nearly isotropic boundary-driven open XY spin 1/2 chain in the Lindblad formulation is provided. A non-equilibrium quantum phase transition from exponentially decaying correlations to long-range order is discussed analytically. In the regime of long-range order a new phenomenon of correlation resonances is reported, where the correlation response of the system is unusually high for certain discrete values of the external bulk parameter, e.g. the magnetic field.

20 Pages, 5 figures

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• Dynamical Response Theory for Driven-Dissipative Quantum Systems
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• Dissipation-driven topological phase transitions in open quantum systems independent of system Hamiltonian