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

Path integrals Methods

bulletGenerating functional approach to displaced harmonic oscillators systems. 
bulletGenerating functional approach to the quantum Brownian system.
bulletStudy the effects of anharmonisity from preservative expansion approach.
bulletGeneralization of optimized perturbation theory to study the dissipative system.
bulletCalculations of correlation functions of a free rotator in a dissipative environment. 

Representative references

bulletY. Tanimura and S. Mukamel, Real-time path-integral approach to quantum coherence and dephasing in nonadiabatic transitions and nonlinear optical response, Phys. Rev. E47, 118-136 (1993).
bulletY. Tanimura and S. Mukamel, Two-dimensional femtosecond vibrational spectroscopy of liquids, J. Chem. Phys. 99, 9496-9511 (1993).
bulletK. Okumura and Y. Tanimura, Unified time-path approach to the generating functional of Brownian oscillator system - the bilinearly corrected Feynman rule for nonequilibrium processes, Phys. Rev. E 53, 214-227 (1996).
bulletY. Suzuki and Y. Tanimura, Optimized perturbation approach with Legendre transformation to a dissipative system: correlation functions of a Morse oscillator, Phys. Rev. E, 59, 1475-1488 (1999).
bulletY. Suzuki and Y. Tanimura, Quantum theory of a two-dimensional rotator in a dissipative environment: Application to Far-infrared spectroscopy, J. Phys. Soc. Jpn, 70, 1167-1170 (2001).
bulletY. 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]
bullet Y. Tanimura, Real-Time and Imaginary-Time Quantum Hierarchal Fokker-Planck Equations, J. Chem. Phys. 142, 144110 [20 pages] (2015) (PDF) [Open Access]

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