Details
| Original language | English |
|---|---|
| Article number | 011118 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 77 |
| Issue number | 1 |
| Publication status | Published - 16 Jan 2008 |
| Externally published | Yes |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Statistics and Probability
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 77, No. 1, 011118, 16.01.2008.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Transport in anisotropic model systems analyzed by a correlated projection superoperator technique
AU - Weimer, Hendrik
AU - Michel, Mathias
AU - Gemmer, Jochen
AU - Mahler, Günter
PY - 2008/1/16
Y1 - 2008/1/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=38349131331&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.77.011118
DO - 10.1103/PhysRevE.77.011118
M3 - Article
AN - SCOPUS:38349131331
VL - 77
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 1
M1 - 011118
ER -