We report a theoretical study of femtosecond transient measurements ap
plied to observe the quantum beats in the time-resolved spectra of the
reaction center of photosynthetic bacteria. By numerically solving th
e coupled master equations, the femtosecond pump-probe stimulated emis
sion spectra are simulated for the non-electron transfer (non-ET) case
, the weak ET case and the strong ET case. For the weak ET case, quant
um beasts with in-and out-of-phase relations are seen in the calculate
d time-resolved spectra during the one-way ET taking place. For the st
rong ET case, we find that a quite different phase relation appears in
the calculated time-resolved spectra as the system undergoes a vibron
ic transition.