Long range order in non-equilibrium interacting quantum spin chains

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.

4 pages, 4 figures

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Quantum phase transition in a far from equilibrium steady state of XY spin chain
• Heat conduction in low-dimensional quantum magnets
• Thermal conductivity via magnetic excitations in spin-chain materials
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium

Cited by in corpus (5)

• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Non-equilibrium dynamics of coupled qubit-cavity arrays
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Non-equilibrium phase transition in a periodically driven XY spin chain
• Decay of currents for strong interactions