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The goal of this Article is to perform a systematic study the globalentanglement and coherence length dynamics in a natural light-harvesting systemFenna-Matthews-Olson (FMO) complex across various parameters of a dissipativeenvironment from low to high temperatures, weak to strong system-environmentcoupling, and non-Markovian environments. The non-perturbative numericallyexact hierarchical equations of motions method is employed to generate thedynamics of the system. We found that entanglement is driven primarily by thestrength of interaction between the system and environment, and it is modulatedby the interplay between temperature and non-Markovianity. In contrast,coherence length is found not to be sensitive to non-Markovianity. Our resultsdo not show the direct correlation between global entanglement and theefficiency of the excitation energy transfer.

A systematic study of the role of dissipative environment in regulating entanglement and exciton delocalization in the Fenna-Matthews-Olson complex