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Out of Equilibrium Correlations in the XY Chain |
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| Authors: | Walter H. Aschbacher Jean-Marie Barbaroux |
| Affiliation: | (1) Zentrum Mathematik, Technische Universität München, M5, 85747 Garching, Germany;(2) Centre de Physique Théorique, Luminy, 13288 Marseille, France;(3) Département de Mathématiques, Université du Sud Toulon-Var, 83957 La Garde, France |
| 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. |
| Keywords: | non-equilibrium steady state XY chain correlations Toeplitz operators |
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