Resonance theory for the dynamics of open dimers
We examine the dynamics of a dimer strongly interacting with noisy quantum reservoirs. This open system, a strongly coupled spin-boson system, is used to model excitation and charge transfer in quantum chemical and biological reactions (redox, photosynthesis). We analyze the processes using a dynamical quantum resonance theory. Due to the strong coupling, ordinary methods (spectral deformation) cannot be applied, so we develop an extended Mourre theory to construct a resonance expansion of the propagator. In particular, we derive an expression for the reaction rates, proving the celebrated Marcus Formula of quantum chemistry.
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