Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 78, Issue 7, Pages -Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.78.073802
Keywords
electron transfer reaction; reduced equation of motion; Brownian oscillator; quantum dissipative dynamics; nonperturbative theory
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Funding
- Japan Society for the Promotion of Science [B19350011]
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A multistate displaced oscillator system strongly coupled to a heat bath is considered a model of an electron transfer (ET) reaction system. By performing canonical transformation, the model can be reduced to the multistate system coupled to the Brownian heat bath defined by a non-ohmic spectral distribution. For this system, we have derived the hierarchy equations of motion for a reduced density operator that can deal with any strength of the system bath coupling at any temperature. The present formalism is an extension of the hierarchy formalism for a two-state ET system introduced by Tanimura and Mukamel into a low temperature and multistate system. Its ability to handle a multistate system allows US to Study a variety of problems in ET and nonlinear optical spectroscopy. To demonstrate the formalism, the time-dependent ET reaction rates for a three-state system are calculated for different energy gaps.
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