2D Vib. Spectroscopy nonlinear optics Chemical Reaction Q. Thermodynamics Frustrated systems Organic conductors HEOM Path Integrals Molecular Dynamics Stochastic Theory Monte Carlo quantum chemistry

Stochastic theory

bulletStudies of second order optical processes of multistate system by stochastic theory
bulletDerive the Gaussian-Markovian quantum master equation to generalize the stochastic Liouville equation.
bulletFractal noise
bulletNon-Gaussian processes

Representative references

bulletY. 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).
bulletY. 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). pdf file (1541k) [full text PDF: OPEN SELECT]
bulletY. 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).
bulletY. 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]
bullet 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).
bullet D. Packwood and Y. Tanimura, Non-Gaussian stochastic dynamics of spins and oscillators, Phys. Rev. E 84, 061111 [9pages] (2011)
bullet D. Packwood and Y. Tanimura, Dephasing by a continuous-time random walk process, Phys. Rev. E. 86, 011130 [9 pages] (2012).

Lecture Note

Lecture note on reduced hierarchy equations of motion: Theory (Zip file, May 10, 2019)
Lecture note on reduced hierarchy equations of motion: Applications   (Zip file, May 10, 2019)

Program Codes:

bulletMarkovian2005(Gaussian-Markovian master equation for a spin system coupled to 3D anisotropic baths)
bulletnonMarkovian2009 (with low temperature correction terms

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