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Transport in anisotropic model systems analyzed by a correlated projection superoperator technique
Hendrik Weimer1, Mathias Michel, Jochen Gemmer
1Institute of Theoretical Physics I, University of Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany. hweimer@itpl.uni-stuttgart.de
Abstract:
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 Schrödinger equation.
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