Stochastic Theory

Stochastic Liouville equation.

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). pdf file (1525k)
bulletY. Tanimura and S. Mukamel, Optical Stark spectroscopy of Brownian oscillator in intense fields, J. Phys. Soc. Jpn. 63, 66-77 (1994). pdf file (1620k)
bullet 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] (6M byte large)

Quantum master equation for Gaussian-Markovian noise bath

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] (1.2M byte large)
bulletY. Tanimura and R. Kubo, Two-time correlation functions of a system coupled to a heat bath with a Gaussian-Markoffian interaction, J. Phys. Soc. Jpn. 58, 1199-1206 (1989). pdf file (815k)
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).  pdf file (1062k)
bulletY. Tanimura and R. Kubo, Time-dependent spectrum of a two-level system coupled to a heat bath driven by pulsed laser, J. Phys. Soc. Jpn. 58, 3001-3012 (1989). pdf file (1762k)
bulletT. Joutsuka and Y. Tanimura, Detecting the Dzyaloshinskii-Moriya Interaction by Means of Pulsed EPR Spectroscopy, Chem. Phys. Lett. 457, 237 (2008)

Quantum master equation for low temperature Gaussian-Markovian noise bath

bulletA. Ishizaki and Y. Tanimura, Quantum dynamics of a system strongly coupled to a low temperature colored noise bath: reduced hierarchy equations approach, J. Phys. Soc. Jpn. 74, 3131 (2005). [full text PDF: OPEN SELECT] (110K)
bulletA. Ishizaki and Y. Tanimura, Modeling vibrational dephasing and energy relaxation processes of intermolecular anharmonic modes for multidimensional infrared spectroscopies, J. Chem. Phys. 125, 084501 (2006).
bulletA. Ishizaki and Y. Tanimura, Dynamics of Multimode System Coupled to Multiple Heat Baths Probed by Two-Dimensional Infrared Spectroscopy, J. Phys. Chem. A, 111, 9296-9276 (2007).
bullet A. Ishizaki and Y. Tanimura, Nonperturbative-NonMarkovian Quantum Master Equation Approach: Validity and Limitation to Calculate Nonlinear Response Functions, Chemical Physics 347, 185 (2008)
bullet A. G. Dijkstra and Y. Tanimura, Non-Markovian entanglement dynamics in the presence of system-bath coherence, Phys. Rev. Lett 104, 250401 (2010).

Quantum master equation for general noise bath

bulletY. Tanimura, Nonperturbative expansion method for a quantum system coupled to a harmonic-oscillator bath, Phys. Rev. A41, 6676-6687 (1990).
bulletY. Tanimura and S. Mukamel, Optical Stark spectroscopy of Brownian oscillator in intense fields, J. Phys. Soc. Jpn. 63, 66-77 (1994). [full text PDF: OPEN SELECT] (1.3M byte)
bulletY. Tanimura and S. Mukamel, Electronic Dephasing in Femtosecond Curve Crossing Spectroscopy, Proceedings of the fourteenth international conference on Raman Spectroscopy, Ed. by N.T. Yu and X.-Y. Li, 23-26 (John Wiley & Sons, 1994).pdf file (292k),
bulletA. Ishizaki and Y. Tanimura, Modeling vibrational dephasing and energy relaxation processes of intermolecular anharmonic modes for multidimensional infrared spectroscopies, J. Chem. Phys. 125, 084501 (2006).
bulletM. Tanaka and Y. Tanimura, Quantum Dissipative Dynamics of Electron Transfer Reaction System: Nonperturbative Hierarchy Equation Approach, J. Phys. Soc. Jpn, 78, 073802 (2009).
bulletM. Tanaka and Y. Tanimura, Multistate Electron Transfer Dynamics in the Condensed Phase: Exact Calculations from the Reduced Hierarchy Equations of Motion Approach, J. Chem. Phys. 132, 214502 (2010)

Two-level system driven by the fractal noise bath

bulletG. Gangopadhyay and Y. Tanimura, Absorption line shape of impurity molecule driven by a fractal noise, Chem. Phys. Lett. 289, 97-104(1998).

Related papers

bulletG. Gangopadhyay, S. Ghoshal, and Y. Tanimura, A thermal bath induced new resonance in linear and nonlinear spectra of two-level systems, Chem. Phys. 242, 367-385 (1999).

@