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Two distinct approaches, the Frenkel-Dirac time-dependent variation and theHaken-Strobl model, are adopted to study energy transfer dynamics insingle-ring and double-ring light-harvesting systems in purple bacteria. It isfound that inclusion of long-range dipolar interactions in the two methodsresults in significant increases in intra- or inter-ring exciton transferefficiency. The dependence of exciton transfer efficiency on trapping positionson single rings of LH2 (B850) and LH1 is similar to that in toy models withnearest-neighbor coupling only. However, owing to the symmetry breaking causedby the dimerization of BChls and dipolar couplings, such dependence has beenlargely suppressed. In the studies of coupled-ring systems, both methods revealinteresting role of dipolar interaction in increasing energy transferefficiency by introducing multiple intra/inter-ring transfer paths.Importantly, the time scale (~4ps) of inter-ring exciton transfer obtained frompolaron dynamics is in good agreement with previous studies. In a double-ringLH2 system, dipole-induced symmetry breaking leads to global minima and localminima of the average trapping time when there is a finite value of non-zerodephasing rate, suggesting that environment plays a role in preserving quantumcoherent energy transfer. In contrast, dephasing comes into play only when theperfect cylindrical symmetry in the hypothetic system is broken. This study hasrevealed that dipolar interaction between chromophores may play an importantpart in the high energy transfer efficiency in the LH2 system and many othernatural photosynthetic systems.

Excitonic energy transfer in light-harvesting complexes in purple bacteria