2012-08-30
10:15 at HCI J 574

Reduced Hierarchy Equations of Motion Approach to a Quantum Dissipative System

Yoshitaka Tanimura

Department of Chemistry, Graduate School of Science, Kyoto University

In this talk, I explore and describe the roles of different physical phenomena that arise from the peculiarities of the system-environment coupling in multidimensional spectra. For this purpose, I employ a Brownian oscillator model with the nonlinear system-bath interaction. The quantum reduces hierarchy equations of motion is then reduced in a Wigner space representation that can deal with a strong-system bath coupling as well as a nonMarkovian noise. The reduced hierarchy equations of motion for system with discrete energy levels will also be derived using a coherent state representation for the path integrals. Various applications of the hierarchy equation of motion approach, including linear and nonlinear spectroscopies, electron transfer, photo dissociation, chemical reactions, quantum tunneling, and quantum information problems will also be discussed. The distributed source code, nonMarkovian2009, will be demonstrated and examined.