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Environment-assisted quantum walks in photosynthetic energy transfer
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View: Figures


Image of FIG. 1.
FIG. 1.

The FMO protein. (a) The spatial structure and energy levels of the complex, where the number at each site represents the localized site energy and the arrows with numbers denote the couplings among various bacteriochlorophylls. For clarity, some small couplings are not shown. The inset depicts the participation of the seven chlorophylls in the delocalized excitonic states (Ref. 5). (b) The susceptiblities of ETE with respect to perturbations of intersite jumps and corresponding damping, rescaled by a factor of and drawn with a cutoff of 2.0. The initial state is taken to be a mixture of populations at sites 1 and 6. Standard parameters are , , , and . Susceptibilites are large when interchromophoric couplings are strong and site energies are similar. The sign of the susceptibility is an indication of the directionality toward the target site 3.

Image of FIG. 2.
FIG. 2.

ETE as a function of (a) temperature, (b) reorganization energy (log linear), and (c) transfer rate to the acceptor (log linear). Transfer time as a function of reorganization energy (d). Blue lines show the efficiencies starting from an initial state localized at site 1. Red lines how the efficiencies starting from site 6. The default parameters (shown as vertical lines) are taken to be , , , and . A quantum walk with no environment-assisted jumps corresponds to no reorganization energy in panel (b). The ETE in this case is 15%–30% less than for the parameters obtained experimentally for FMO demonstrating the effect of the environment-assisted quantum walk.

Image of FIG. 3.
FIG. 3.

Susceptibility vs (a) temperature, (b) reorganization energy (log linear), and (c) transfer rate to the acceptor. The processes considered are free Hamiltonian (black), the phonon bath coupling (red), transfer to the acceptor (green), and the loss of the excitation (blue). The initial state is a mixture of 1 and 6, except for the jump susceptibility in (b) which is separated into 1 and 6, respectively. Standard parameters (shown as vertical lines) are , , , and . For the standard parameters, the FMO complex shows relatively small susceptibilities, suggesting robustness with respect to external or evolutionary perturbations.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Environment-assisted quantum walks in photosynthetic energy transfer