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Quantum transport in one-dimensional systems via a master equation approach: Numerics and an exact solution
Marko Znidaric
We discuss recent findings about properties of quantum nonequilibrium steady states. In particular we focus on transport properties. It is shown that the time dependent density mat…
Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
Marko Znidaric
We study a 1-dimensional XX chain under nonequilibrium driving and local dephasing described by the Lindblad master equation. The analytical solution for the nonequilibrium steady…
A matrix product solution for a nonequilibrium steady state of an XX chain
Marko Znidaric
A one dimensional XX spin chain of finite length coupled to reservoirs at both ends is solved exactly in terms of a matrix product state ansatz. An explicit representation of matri…
Long range order in non-equilibrium interacting quantum spin chains
Tomaz Prosen, Marko Znidaric
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 ba…
Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
Marko Znidaric
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 we…