Abstract

We investigate the evolution of entanglement in the Fenna-Matthew-Olson (FMO) complex based on simulations using the scaled hierarchical equations of motion approach. We examine the role of entanglement in the FMO complex by direct computation of the convex roof. We use monogamy to give a lower bound for entanglement and obtain an upper bound from the evaluation of the convex roof. Examination of bipartite measures for all possible bipartitions provides a complete picture of the multipartite entanglement. Our results support the hypothesis that entanglement is maximum primary along the two distinct electronic energy transfer pathways. In addition, we note that the structure of multipartite entanglement is quite simple, suggesting that there are constraints on the mixed state entanglement beyond those due to monogamy.

Highlights

  • Photosynthesis is one of the most common phenomena in nature

  • Recent experimental results show that long lived quantum coherences are present in various photosynthetic complexes

  • The FMO complex acts as a molecular wire, transferring the excitation energy from the light-harvesting complex (LHC) to the reaction center (RC)

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Summary

Introduction

The details of photosynthetic processes are still under investigation. Recent experimental results show that long lived quantum coherences are present in various photosynthetic complexes.. Recent experimental results show that long lived quantum coherences are present in various photosynthetic complexes.1–3 One such protein complex, the Fenna-Matthews-Olson (FMO) complex from green sulphur bacteria, has attracted a great deal of experimental and theoretical attention due to its intermediate role in energy transport. The FMO complex acts as a molecular wire, transferring the excitation energy from the light-harvesting complex (LHC) to the reaction center (RC).. In 2007, Engel et al. observed long-lasting quantum beating over a time scale of hundreds of femtoseconds by two-dimensional nonlinear spectroscopy. Evidence for quantum beating, and long lived quantum coherence, was found at room temperature.

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