A matrix product solution for a nonequilibrium steady state of an XX chain

Details A matrix product solution for a nonequilibrium steady state of an XX chain A matrix product solution for a nonequilibrium steady state of an XX chain

2010-06-28

arxiv.org/abs/1006.5368v2

J.Phys.A: Math. Theor. 43 415004, (2010)

Physics

Condensed Matter

Statistical Mechanics

11 pages

Scientific paper

10.1088/1751-8113/43/41/415004

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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