By Mohseni M., Omar Y., Engel G.S., Plenio M.B. (eds.)
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1996). In fact, an arbitrary relaxation function can be numerically decomposed to the sum of exponential functions, as discussed by Meier and Tannor (1999). 2 Electronic energy transfer in photosynthetic complexes: a case of failure for perturbative QMEs The electronic coupling h¯ J between pigments and the electron–nuclear coupling characterized by the reorganization energy h¯ λ are two fundamental interaction mechanisms determining the nature of EET in photosynthetic complexes. The transfer processes are usually described in one of two perturbative limits.
In this chapter, we briefly review quantum-dynamical maps and their classification as completely positive and non-completely positive maps. In a full quantum-mechanical treatment of an open quantum system, the environment (or commonly called the bath) is also modelled as a second quantum system coupled to the primary system of interest. , 1987) or a set of spins (Prokof’ev and Stamp, 2000). Consider a quantum system S and a bath B, with respective Hilbert spaces HS and HB , such that together they form one isolated system, described by the joint initial state (density matrix) ρSB (0).
Thus, this process is termed coherent transfer. 198mm CUUK2541/Mohseni et al. 8 Second-order cumulant time-non-local equation 33 noting that the timescale of energy transport does not exceed that of J −1 whenever τ rxn J −1 or J −1 τ rxn . e. λ ∼ J and/or τ rxn ∼ J −1 . , 2005), and therefore they are of considerable interest. As a result, perturbative or Markovian master equations fail to provide a proper description of EET in natural systems.