Long-Range Order in Nonequilibrium Interacting Quantum Spin Chains
Abstract
We conjecture that nonequilibrium boundary conditions generically trigger long-range order in nonequilibrium 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 an integrable Heisenberg XXZ chain by changing the anisotropy parameter. Long-range order also typically emerges after breaking the integrability of the model.
- Publication:
-
Physical Review Letters
- Pub Date:
- August 2010
- DOI:
- 10.1103/PhysRevLett.105.060603
- arXiv:
- arXiv:1005.4064
- Bibcode:
- 2010PhRvL.105f0603P
- Keywords:
-
- 05.70.Ln;
- 03.65.Yz;
- 05.30.Rt;
- 75.10.Pq;
- Nonequilibrium and irreversible thermodynamics;
- Decoherence;
- open systems;
- quantum statistical methods;
- Spin chain models;
- Condensed Matter - Statistical Mechanics;
- Quantum Physics
- E-Print:
- 4 pages, 4 figures