Quantum transport in one-dimensional systems via a master equation approach: Numerics and an exact solution

Abstract

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 matrix renormalization method can be used successfully to find a stationary solution of Lindblad master equation. Furthermore, for a specific model an exact solution is presented.

PNLD 2010 conference proceedings; 10 pages

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Cited by in corpus (5)

• Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model
• Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current
• Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State
• Efficient unitary method for simulation of driven quantum dot systems
• Time-dependent density functional theory for open spin chains