Theoretical Study Of Electron Transfer Dynamics In Donor-Bridge-Acceptor Dissipative Systems

The first half part of the paper mainly introduces the method which is used to study the long time dynamics of the quantum dssipative systems-numerical path integral technique, and the iterative tensor multiplication scheme derived for the so-called QUAPI, while the second half part focuses on the electron transfer in donor-bridge-acceptor systems under dissipative environment. The dephasing and relaxation rates are extracted from the Fourier transform of the time-dependent population difference of the donor and acceptor states. Comparing the rates obtained from the donor-bridge-acceptor and the effective two state systems, respectively, we reveal the validity of the superexchange mechanism. It is found that the coupling of the environment to the bridge does not affect the superexchange rates for the bridges having high enough electronic energies, and the superechange mechanism still works quite well even though the population on the bridges is over than 20% in a tested system.