(1) Basic formalism of open quantum dynamics
Y. Tanimura, Stochastic Liouville, Langevin, Fokker-Planck, and master equation approaches to quantum dissipative systems, J. Phys. Soc. Jpn. 75 082001 (39 pages)(2006).
Y. Tanimura, Real-Time and Imaginary-Time Quantum Hierarchal Fokker-Planck Equations, J. Chem. Phys. 142,144110 [20 pages] (2015)
(2) Resonant tunneling diode in a dissipative environment
A. Sakurai and Y. Tanimura, An approach to quantum transport based on reduced hierarchy equations of motion: Application to resonant tunneling diode, J. Phys. Soc. Jpn 82, 033707 [4 pages] (2013).
A. Sakurai and Y. Tanimura, Self-excited current oscillations in a resonant tunneling diode described by a model based on the Caldeira-Leggett Hamiltonian, New J. of Phys. 16, 015002 [24 pages] (2014).
R. Grossmann, A. Sakurai, Y. Tanimura, Electron pumping under non-Markovian dissipation: The role of the self-consistent field, J. Phys. Soc. Jpn. 85, 034803 [7 pages] (2016).
3) Multi-electronic states system & 2D (4D in a phase space) system
T. Ikeda and Y. Tanimura, Probing photoisomerization processes by means of multi-dimensional electronic spectroscopy: The multi-state quantum hierarchal Fokker-Planck Equation approach, J. Chem. Phys. 146, 014102 [10 pages] (2017).
T. Ikeda and Y Tanimura, Phase-Space Wavepacket Dynamics of Internal Conversion via Conical Intersection: Multi-State Quantum Fokker-Planck Equation Approach, Chem. Phys. 515, 203-213 (2018).
4) Open classical vs. quantum dynamics
A. Sakurai and Y. Tanimura, Does hbar play a role in multidimensional spectroscopy? Reduced hierarchy equations of motion approach to molecular vibrations, J. Phys. Chem. A 115, 4009-4022 (2011)
A. Kato and Y. Tanimura, Quantum Suppression of Ratchet Rectification in a Brownian System Driven by a Biharmonic Force, J. Phys. Chem. B 117, 13132-13144 (2013).