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arXiv · 1005.4064

Long range order in non-equilibrium interacting quantum spin chains

Tomaz Prosen·Marko Znidaric
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Abstract

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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Tomaz Prosen, Marko Znidaric. 2010-05-21. Long range order in non-equilibrium interacting quantum spin chains. https://doi.org/10.1103/physrevlett.105.060603

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