  We investigate the excitonic energy transfer (EET) in the
Fenna-Matthews-Olsen complex and obtain the linear absorption spectrum (at 300
K) by a phenomenological time-convolutionless (TCL) master equation which is
validated by utilizing Path Integral Monte Carlo (PIMC) simulations. By
applying Marcus' theory for choosing the proper Lindblad operators for the
long-time incoherent hopping process and using local non-Markovian dephasing
rates, our model shows very good agreement with the PIMC results for EET. It
also correctly reproduces the linear absorption spectrum that is found in
experiment, without using any fitting parameters.
