Long range order in non-equilibrium interacting quantum spin chains

Details Long range order in non-equilibrium interacting quantum spin chains Long range order in non-equilibrium interacting quantum spin chains

2010-05-21

arxiv.org/abs/1005.4064v1

Phys. Rev. Lett. 105, 060603 (2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.105.060603

We conjecture that non-equilibrium boundary conditions generically trigger long range order in non-equilibrium steady states of locally interacting quantum chains. Our result is based on large scale density matrix renormalization group simulations of several models of quantum spin 1/2 chains which are driven far from equilibrium by coupling to a pair of unequal Lindblad reservoirs attached locally to the ends of the chain. In particular, we find a phase transition from exponentially decaying to long range spin-spin correlations in integrable Heisenberg XXZ chain by changing the anisotropy parameter. Long range order also typically emerges after breaking the integrability of the model.

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