A matrix product solution for a nonequilibrium steady state of an XX chain
Statistical Mechanics
2010-09-30 v2 Quantum Physics
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.
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Cite
@article{arxiv.1006.5368,
title = {A matrix product solution for a nonequilibrium steady state of an XX chain},
author = {Marko Znidaric},
journal= {arXiv preprint arXiv:1006.5368},
year = {2010}
}
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11 pages