A matrix product solution for a nonequilibrium steady state of an XX chain
arXiv:1006.5368 · doi:10.1088/1751-8113/43/41/415004
Abstract
A one dimensional XX spin chain of finite length coupled to reservoirs at both ends is solved exactly in terms of a matrix product state ansatz. An explicit representation of matrices of fixed dimension 4 independent of the chain length is found. Expectations of all observables are evaluated, showing that all connected correlations, apart from nearest neighbor z-z, are zero.
11 pages