Transport in anisotropic model systems analyzed by a correlated projection superoperator technique.
@article{Weimer2008TransportIA, title={Transport in anisotropic model systems analyzed by a correlated projection superoperator technique.}, author={Hendrik Weimer and Mathias Michel and Jochen Gemmer and G{\"u}nter Mahler}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2008}, volume={77 1 Pt 1}, pages={ 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…
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References
SHOWING 1-10 OF 26 REFERENCES
The Theory of Open Quantum Systems
- Physics
- 2002
PREFACE ACKNOWLEDGEMENTS PART 1: PROBABILITY IN CLASSICAL AND QUANTUM MECHANICS 1. Classical probability theory and stochastic processes 2. Quantum Probability PART 2: DENSITY MATRIX THEORY 3.…
Random Matrices
- Computer Science
- 2005
This workshop was unusually diverse, even by MSRI standards; the attendees included analysts, physicists, number theorists, probabilists, combinatorialists, and more.
Phys
- Rev. A 75, 022103
- 2007
Europhys
- 8 Lett. 75, 406
- 2006
Phys
- 33, 1338
- 1960
Progr
- Theo. Phys. 20, 948
- 1958
Phys
- Rev. B 55, 11029
- 1997
Phys
- Rev. E 60, 3949
- 1999