Transport in anisotropic model systems analyzed by a correlated projection superoperator technique

Details Transport in anisotropic model systems analyzed by a correlated projection superoperator technique Transport in anisotropic model systems analyzed by a correlated projection superoperator technique

2008-01-17

arxiv.org/abs/0801.2669v1

Phys. Rev. E 77, 011118 (2008)

Physics

Quantum Physics

8 pages, 6 figures

Scientific paper

10.1103/PhysRevE.77.011118

By using a correlated projection operator, the time-convolutionless (TCL) method to derive a quantum master equation can be utilized to investigate the transport behavior of quantum systems as well. Here, we analyze a three-dimensional anisotropic quantum model system according to this technique. The system consists of Heisenberg coupled two-level systems in one direction and weak random interactions in all other ones. Depending on the partition chosen, we obtain ballistic behavior along the chains and normal transport in the perpendicular direction. These results are perfectly confirmed by the numerical solution of the full time-dependent Schr\"odinger equation.

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