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In many important cases, the rate of excitation of a system embedded in anenvironment is significantly smaller than the internal system relaxation rates.An important example is that of light-induced processes under naturalconditions, in which the system is excited by weak, incoherent (e.g., solar)radiation. Simulating the dynamics on the time scale of the excitation sourcecan thus be computationally intractable. Here we describe a method forobtaining the dynamics of quantum systems without directly solving the masterequation. We present an algorithm for the numerical implementation of thismethod, and, as an example, use it to reconstruct the internal conversiondynamics of pyrazine excited by sunlight. Significantly, this approach alsoallows us to assess the role of quantum coherence on biological time scales,which is a topic of ongoing interest.

An efficient approach to the quantum dynamics and rates of processes induced by natural incoherent light