Non-zero Entropy Density in the XY Chain Out of Equilibrium |
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Authors: | Walter H. Aschbacher |
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Affiliation: | 1.Zentrum Mathematik, M5,Technische Universit?t München,Garching,Germany |
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Abstract: | The von Neumann entropy density of a block of n spins is proved to be non-zero for large n 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 which act as thermal reservoirs at different temperatures. Moreover, the non-equilibrium density is shown to be strictly greater than the density in thermal equilibrium. |
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Keywords: | 46L60 47B35 82C10 82C23 |
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