Optimal control on open quantum systems and application to non-Condon photo-induced electron transfer

In this work, we develop an optimal control theory on open quantum system and its environment, and exemplify the method with the application to the non-Condon photo-induced electron transfer (PET) in 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 enables rigorous characterization and control of environmental hybridization 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 on both system and environment simultaneously. The control protocol is successfully demonstrated on PET for the environment-targeted-control facilitated transfer. This work sheds the light on manipulating open systems dynamics via polarized environment.