Abstract
We study the transversal spin–spin correlations in the non-equilibrium steady state of the XY chain constructed by coupling a finite cutout of the chain to the two infinite parts to its left and right acting as thermal reservoirs at different temperatures. We prove that the spatial decay of these correlations is at least exponentially fast.
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Aschbacher, W.H., Barbaroux, JM. Out of Equilibrium Correlations in the XY Chain. Lett Math Phys 77, 11–20 (2006). https://doi.org/10.1007/s11005-006-0049-7
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DOI: https://doi.org/10.1007/s11005-006-0049-7