Energy Optimal Control for Quantum System Evolving on SU(1,1)
Optimization and Control
2007-09-13 v1 Dynamical Systems
Abstract
This paper discusses the energy optimal control problem for the class of quantum systems that possess dynamical symmetry of SU(1,1), which are widely studied in various physical problems in the quantum theory. Based on the maximum principle on Lie group, the complete set of optimal controls are analytically obtained, including both normal and abnormal extremals. The results indicate that the normal extremal controls can be expressed by the Weierstrass elliptic function, while the abnormal extremal controls can only be constant functions of time t.
Keywords
Cite
@article{arxiv.0709.1897,
title = {Energy Optimal Control for Quantum System Evolving on SU(1,1)},
author = {Jian-Wu Wu and Chun-Wen Li and Jing Zhang and Tzyh-Jong Tarn},
journal= {arXiv preprint arXiv:0709.1897},
year = {2007}
}