Hierarchy equations of motion approach
Quantum master equation with low temperature correction terms
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| A. 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] |
| A. 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). |
| A. 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 (2007). |
| A. Ishizaki and Y. Tanimura, Nonperturbative-NonMarkovian Quantum Master Equation Approach: Validity and Limitation to Calculate Nonlinear Response Functions, Chem. Phys. 347, 185 (2008). |
| A. G. Dijkstra and Y. Tanimura, Non-Markovian entanglement dynamics in the presence of system-bath coherence, Phys. Rev. Lett 104, 250401 (2010). |
| A. G. Dijkstra and Y. Tanimura, Role of the Environment Time Scale on Light-Harvesting Efficiency and Coherent Oscillations, New J. Phys. 14, 073027 [11pages] (2012).[Open Access] |
| A. G. Dijkstra and Y. Tanimura, Linear and third- and fifth-order nonlinear spectroscopy of a charge transfer system coupled to an underdamped vibration, J. Chem. Phys. 142, 212423 [7 pages] (2015). |
| Y. Tanimura, Reduced hierarchical equations of motion in real and imaginary time: Correlated initial states and thermodynamic quantities, J. Chem. Phys. 141, 044114 (2014). [Open Access] |
| M. Tsuchimoto and Y. Tanimura, Spins Dynamics in a Dissipative Environment: Hierarchal Equations of Motion Approach using a Graphics Processing Unit (GPU), J. Chem. Theory Comput.,11, 3859-3865 (2015). |
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Quantum master equation for Gaussian-Markovian noise bath
| 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). pdf file (1541k) [full text PDF: OPEN SELECT] (1.2M byte large) |
| Y. 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) |
| 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). pdf file (1062k) |
| Y. 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) |
| T. Joutsuka and Y. Tanimura, Detecting the Dzyaloshinskii-Moriya Interaction by Means of Pulsed EPR Spectroscopy, Chem. Phys. Lett. 457, 237 (2008) |
Quantum Fokker-Planck equation for Gaussian-Markovian noise bath
| Y. Tanimura and P. G. Wolynes, Quantum and classical Fokker-Planck equations for a Gaussian-Markovian noise bath, Phys. Rev. A43, 4131-4142 (1991). |
| Y. Tanimura and P. G. Wolynes, The interplay of tunneling, resonance, and dissipation in quantum barrier crossing: A numerical study, J. Chem. Phys. 96, 8485-8496 (1992). |
Quantum Fokker-Planck equation with low temperature correction terms
| 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) Error correction) |
| A. Sakurai and Y. Tanimura, An approach to quantum transport based on reduced hierarchy equations of motion: Application to a 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). [Open Access] |
| F. 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).[Open Access] |
| 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). |
| Y. Tanimura, Real-Time and Imaginary-Time Quantum Hierarchal Fokker-Planck Equations, J. Chem. Phys. 142, 144110 [20 pages] (2015) (PDF) [Open Access] |
Multistate quantum Fokker-Planck equation
| Y. Tanimura and S. Mukamel, Multistate quantum Fokker-Planck approach to nonadiabatic wave packet dynamics in pump-probe spectroscopy, J. Chem. Phys. 101, 3049-3061 (1994). | ||||
| Y. Tanimura and Y. Maruyama, Gaussian-Markovian quantum Fokker-Planck approach to nonlinear spectroscopy of a displaced Morse potentials system: dissociation, predissociation and optical Stark effects, J. Chem. Phys. 107, 1779-1793 (1997). | ||||
| Y. Maruyama and Y. Tanimura, Pump-probe spectra and nuclear dynamics for a dissipative molecular system in a strong laser field: predissociation dynamics, Chem. Phys. Lett. 292, 28-34 (1998). | ||||
| T. Ikeda and Y. Tanimura, Probing photoisomerization processes by means of multi-dimensional electronic spectroscopy: The multi-state quantum hierarchical Fokker-Planck Equation approach, J. Chem. Phys. 146, 014102 [10 pages] (2017) (Error correction) | ||||
| 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), (Supporting Information & movies
ZIP)
| T. Ikeda and Y. Tanimura, Low-Temperature Quantum
Fokker-Planck and Smoluchowski Equations and Their Extension to Multistate
Systems, J.
Chem. Theory Comput. 15 (2019). (Error correction)
| T.
Ikeda, Y. Tanimura, and A. Dijkstra, Modeling and analyzing a photo-driven molecular motor
system: Ratchet
dynamics and non-linear optical spectra,
J. Chem. Phys. 150, 114103
[17 pages]
(2019)
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Calculations of correlation functions
| Y. Tanimura, Fifth-order two-dimensional vibrational spectroscopy of a Morse potential system in condensed phases, Chem. Phys. 233, 217-229 (1998). |
Quantum Fokker-Planck equation with nonlinear system-bath coupling
| T. Steffen and Y. Tanimura, Two dimensional spectroscopy for harmonic vibrational modes with nonlinear system-bath interactions: I. Gaussian-white case, J. Phys. Soc. Jpn. 69, 3115-3132 (2000).pdf file(608k) [full text PDF: OPEN SELECT] ; 76, 078001(2007).Erratum PDF |
| Y. Tanimura and T. Steffen, Two dimensional spectroscopy for harmonic vibrational modes with nonlinear system-bath interactions: II. Gaussian-Markovian case, J. Phys. Soc. Jpn. 69, 4095-4106 (2000). Pdf file(366k) [full text PDF: OPEN SELECT] |
| T. Kato and Y. Tanimura, Vibrational spectroscopy of a harmonic oscillator system nonlinearly coupled to a heat bath, J. Chem. Phys. 117, 6221-6234(2002). |
| T. Kato and Y. Tanimura, Two-dimensional Raman and infrared vibrational spectroscopy for a harmonic oscillator system nonlinearly coupled with a colored noise bath, J. Chem. Phys. 120, 260-271 (2004). |
| A.Ishizaki and Y. Tanimura, Multidimensional vibrational spectroscopy for tunneling processes in a dissipative environment, J. Chem. Phys. 123, 14503 (2005) |
| T. Ikeda, H. Ito, and Y. Tanimura, Analysis of 2D THz-Raman spectroscopy using a non-Markovian Brownian oscillator model with nonlinear system-bath interactions, J. Chem. Phys. 142, 212421 [15 pages] (2015). |
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Quantum master equation for general noise bath
| Y. Tanimura, Nonperturbative expansion method for a quantum system coupled to a harmonic-oscillator bath, Phys. Rev. A41, 6676-6687 (1990). |
| Y. 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) |
| Y. 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), |
| A. 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). |
| M. Tanaka and Y. Tanimura, Quantum Dissipative Dynamics of Electron Transfer Reaction System: Nonperturbative Hierarchy Equation Approach, J. Phys. Soc. Jpn, 78, 073802 (2009). |
| M. 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) |
| Y. Tanimura, Reduced hierarchy equations of motion approach with Drude plus Brownian spectral distribution: Probing electron transfer processes by means of two-dimensional correlation spectroscopy, J. Chem, Phys 137, 22A550 [9 pages] (2012). [Open Access] |
Review article
| 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) |
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| Y. Tanimura, Perspective: Numerically "Exact" Approach to Open Quantum Dynamics: The Hierarchical Equations of Motion (HEOM), J. Chem. Phys. 153, 020901 (2020). [Open Access] |
