Optimal control on open quantum systems and application to non-Condon photoinduced electron transfer dynamics

In this work, we develop an optimal control theory on open quantum systems and their environments and exemplify the method with the application to the non-Condon photoinduced electron transfer in the condensed phase. This method utilizes the dissipaton theory, proposed by Yan in 2014 for open quantum systems, which provides an exact description of the dissipative system while also enabling rigorous characterization and control of environmental modes, fully taking into account the non-perturbative and non-Markovian effects. Leveraging the advantage of the dissipaton phase-space algebra, we present in this communication the theoretical strategy for optimal control of both system and environment simultaneously. The control protocol is successfully demonstrated on photoinduced electron transfer for the environment-targeted control facilitated transfer dynamics. This work sheds light on manipulating open systems dynamics via polarized environments.