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Time-convolutionless master equation dynamics for charge-transfer processes between semiconducting polymers

2006/10/27 by Eric R. Bittner, Bittner, Eric R., Andrey Pereverzev +1
Engineering · Materials Science · Physics and Astronomy · #Conducting polymers and applications #Organic Electronics and Photovoltaics #Spectroscopy and Quantum Chemical Studies #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0610772

"Dynamics of Open Quantum Systems" CCP6 Workshop, Univ. of Wales, Bangor, August 2006

arxiv created 2006/10/27 · arxiv updated 2009/12/01

Abstract

We present here a brief overview of our work in developing a convolutionless quantum master equation approach suitable for mesoscopic sized systems. Our final equation can be used in the regimes where the golden rule approach is not applicable. Here we apply the approach to study the electronic relaxation in several models with the finite number of normal modes. For such mesoscopic systems the relaxation behavior differs substantially from the simple exponential relaxation. In particular, the equation shows the appearance of the recurrence phenomena on a time-scale determined by the slowest mode of the system. The formal results are quite general and can be used for a wide range of physical systems. Numerical results are presented for a two level system coupled to an Ohmic and super-Ohmic baths, as well as for a model of charge-transfer dynamics between semiconducting organic polymers. In this later system, we show how both slow and fast phonon modes contribute to the decay of an exciton across a heterojunction interface.

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