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The non-hermitian quantum dynamics of excitonic energy transfer inphotosynthetic systems is investigated using a dissipative two-level dimermodel. The approach is based on the Green's function formalism which permitsconsideration of decoherence and intersite transfer processes on comparableterms. The results indicate a combination of coherent and incoherent behaviorat higher temperatures with the possibility of exceptional points occurring atthe coherent-incoherent crossover regime at critical temperatures. When eachdimer site is coupled equally to the environmental sources of dissipation, theexcitonic wavepacket evolves with time with a coherent component, which can beattributed to the indistinguishability of the sources of dissipation. The timeevolution characteristics of the B850 Bchls dimer system is analysed usingtypical parameter estimates in photosynthetic systems, and the quantumbrachistochrone passage times are obtained for a range of parameters.

Non-hermitian exciton dynamics in a photosynthetic unit system