Letters in Mathematical Physics

, Volume 77, Issue 1, pp 11–20 | Cite as

Out of Equilibrium Correlations in the XY Chain



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.


non-equilibrium steady state XY chain correlations Toeplitz operators 

Mathematics Subject Classification (2000)

46L60 47B35 82C10 82C23 


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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Zentrum MathematikTechnische Universität München, M5GarchingGermany
  2. 2.Centre de Physique ThéoriqueLuminyMarseilleFrance
  3. 3.Département de MathématiquesUniversité du Sud Toulon-VarLa GardeFrance

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