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arXiv · 1007.2922

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

Bojan Zunkovic·Tomaz Prosen
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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.

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Bojan Zunkovic, Tomaz Prosen. 2010-07-17. Explicit solution of the Lindblad equation for nearly isotropic boundary driven XY spin 1/2 chain. https://doi.org/10.1088/1742-5468%2F2010%2F08%2Fp08016

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