Exact solution for a diffusive nonequilibrium steady state of an open quantum chain

Abstract

We calculate a nonequilibrium steady state of a quantum XX chain in the presence of dephasing and driving due to baths at chain ends. The obtained state is exact in the limit of weak driving while the expressions for one- and two-point correlations are exact for an arbitrary driving strength. In the steady state the magnetization profile and the spin current display diffusive behavior. Spin-spin correlation function on the other hand has long-range correlations which though decay to zero in either the thermodynamical limit or for equilibrium driving. At zero dephasing a nonequilibrium phase transition occurs from a ballistic transport having short-range correlations to a diffusive transport with long-range correlations.

5 pages

References in corpus (12)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Operator space entanglement entropy in transverse Ising chain
• Quantum phase transition in a far from equilibrium steady state of XY spin chain
• Exact solution of Markovian master equations for quadratic fermi systems: thermal baths, open XY spin chains, and non-equilibrium phase transition
• Is efficiency of classical simulations of quantum dynamics related to integrability?
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Operator Space Entanglement Entropy in XY Spin Chains
• Dephasing-induced diffusive transport in anisotropic Heisenberg model
• Transport in open spin chains: A Monte Carlo wave-function approach
• Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
• Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain

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