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Published on: August 2, 2019
Optimal control of quantum non-Markovian dissipation: reduced Liouville-space theory
Ruixue Xu1, YiJing Yan, Yukiyoshi Ohtsuki
1Open Laboratory of Bond-Selective Chemistry, University of Science and Technology of China, Hefei, China. rxxu@chsg4.ust.hk
Abstract:
An optimal control theory for open quantum systems is constructed containing non-Markovian dissipation manipulated by an external control field. The control theory is developed based on a novel quantum dissipation formulation that treats both the initial canonical ensemble and the subsequent reduced control dynamics. An associated scheme of backward propagation is presented, allowing the efficient evaluation of general optimal control problems. As an illustration, the control theory is applied to the vibration of the hydrogen fluoride molecule embedded in a non-Markovian dissipative medium. The importance of control-dissipation correlation is evident in the results.
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