ABSTRACT

In this chapter, we use the recently developed partial linearized den-

sity matrix (PLDM) propagation approach to explore the excitation

energy transfer dynamics in various light-harvesting systems. We

demonstrate that PLDM propagation can capture both short-time

nonequilibrium coherent dynamics, and recover long-time thermal

populations that result from relaxation of initial excitation in the

model dissipative environment of protein-pigment photosynthetic

light-harvesting complexes. We find that the energy transfer rate

can be optimized as a function of the strength of the system-

environment interactions. Despite the fact that experiments show

signatures of coherent dynamics at short times we find that such

features play little role in controlling the energy transfer rate. We

show that the presence of coherent beating in chromophore net-

work populations, which matches closely with features observed in

nonlinear 2D spectroscopy signals, is strongly dependent on theway

the excitation is injected into the multichromophore network. The

artificial initial conditions employed in the experiments enhance

the coherence and with more realistic initialization the coherent

features are significantly diminished. We show that a simple

kinetic model can be used to understand the population dynamics

and relaxation to thermal equilibrium in these systems. Our

calculations employing various realistically parameterized model

Hamiltonians for photosynthetic light-harvesting systems explore

the effects initialization, the influence of strongly coupled dimers

that result in quantum coherent beating, and the effect of correlated

bath fluctuations in diagonal and off-diagonal elements of the

system-bath Hamiltonian over realistic parameter ranges for these

systems.