Stochastic theory
 | Studies of second order optical processes of multistate system by
stochastic theory |
| Derive the Gaussian-Markovian quantum master equation to generalize the
stochastic Liouville equation. |
| Fractal noise |
| Non-Gaussian processes |
Representative references
| Y. Tanimura, H. Takano, and R. Kubo, Second order
optical processes of a randomly modulated multi-level atom,
J. Phys.
Soc. Jpn. 55, 4550-4565 (1986). |
| Y. Tanimura and R. Kubo, Time evolution of a quantum
system in contact with a nearly Gaussian-Markoffian noise bath, J.
Phys. Soc. Jpn. 58, 101-114 (1989).
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| Y. Tanimura, T. Suzuki and R. Kubo, Second order
optical process of a three-level system in contact with a nearly
Gaussian-Markoffian noise bath, J. Phys. Soc. Jpn. 58,
1850-1859 (1989). |
| Y. Tanimura, Stochastic Liouville, Langevin,
Fokker-Planck, and master equation approaches to quantum dissipative
systems, J. Phys. Soc. Jpn. 75, 082001
(2006). [full
text PDF: OPEN SELECT] |
|
G. Gangopadhyay, S. Ghoshal, and Yoshitaka Tanimura, A
thermal bath induced new resonance in linear and nonlinear spectra of
two-level systems,
Chem. Phys. 242,
367-385 (1999).
|
|
D. Packwood and Y. Tanimura, Non-Gaussian stochastic
dynamics of spins and oscillators,
Phys. Rev. E 84, 061111 [9pages] (2011) |
|
D. Packwood and Y. Tanimura, Dephasing by a
continuous-time random walk process,
Phys. Rev. E. 86,
011130 [9 pages] (2012).
|
Lecture Note
Program Codes:
| Markovian2005(Gaussian-Markovian
master equation for a spin system coupled to 3D anisotropic baths) |
| nonMarkovian2009
(with low temperature correction terms |
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