Abstract
For the dynamics of molecular excitons with well-defined Hamiltonians, quantum master equation (QME) approaches serve as general and efficient methods of calculation. This chapter provides detailed derivation of some of the well-known QMEs. Formally exact QMEs for both reduced exciton density operator and exciton populations are derived through projection operator formalism. Then, second and fourth order approximations of the exact QMEs are derived. For the bath model of linearly coupled harmonic oscillators, expressions for the kernels of both the standard and polaron transformed second order QMEs are derived in detail. The utility of the latter QME as an efficient method to cover both incoherent and coherent exciton dynamics is illustrated through model calculations.
Published Version
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