English

Non-zero entropy density in the XY chain out of equilibrium

Mathematical Physics 2007-05-23 v2 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0603049,
  title  = {Non-zero entropy density in the XY chain out of equilibrium},
  author = {Walter H. Aschbacher},
  journal= {arXiv preprint arXiv:math-ph/0603049},
  year   = {2007}
}