This thesis studies a spin-star model and an open spin-star model. The spin-star model is exactly solvable, and the approximation methods can be applied and compared with the exact solution. As this model is shown to be non-Gaussian and non-Markovian, Born-Markovian approximation is not valid. The comparison of Nakajima-Zwanzig and time-convolutionless methods show that the performances of those two techniques depend on the specific property of the model. The open spin-star model is not exactly solvable and the analytical solution under Gaussian approximation is obtained.
| Identifer | oai:union.ndltd.org:WATERLOO/oai:uwspace.uwaterloo.ca:10012/7294 |
| Date | January 2012 |
| Creators | Qiao, Wenling |
| Source Sets | University of Waterloo Electronic Theses Repository |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
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