Out of equilibrium correlations in the XY chain

被引:32
作者
Aschbacher, Walter H.
Barbaroux, Jean-Marie
机构
[1] Tech Univ Munich, Zentrum Math, D-85747 Garching, Germany
[2] Ctr Phys Theor, F-13288 Marseille, France
[3] Univ Sud Toulon Var, Dept Math, F-83957 La Garde, France
关键词
non-equilibrium steady state; XY chain; correlations; Toeplitz operators;
D O I
10.1007/s11005-006-0049-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:11 / 20
页数:10
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