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

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

2010-07-17

arxiv.org/abs/1007.2922v1

Physics

Condensed Matter

Statistical Mechanics

20 Pages, 5 figures

Scientific paper

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.

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