Hamiltonian Reduction of Quantum Systems Controlled by Pulses  

脉冲控制量子系统的哈密顿量约化

作　　者：徐强[1,2] 王耀雄[2] 双丰[2] H.Rabitzc 

机构地区：[1]中国科学院合肥智能机械研究所,合肥230031 [2]中国科学技术大学自动化系,合肥230026 [3]美国普林斯顿大学化学系,新泽西州08544

出　　处：《Chinese Journal of Chemical Physics》2011年第4期378-382,I0003,共6页化学物理学报（英文）

基　　金：ACKNOWLEDGMENTS This work was supported by the National Natural Science Foundation of China （No.61074052 and No.61072032）. Herschel Rabitz acknowledges the support from Army Research Office （ARO）.

摘　　要：We explores Hamiltonian reduction in pulse-controlled finite-dimensional quantum systems with near-degenerate eigenstates. A quantum system with a non-degenerate ground state and several near-degenerate excited states is controlled by a short pulse, and the objective is to maximize the collective population on all excited states when we treat all of them as one level. Two cases of the systems are shown to be equivalent to effective two-level systems. When the pulse is weak, simple relations between the original systems and the reduced systems are obtained. When the pulse is strong, these relations are still available for pulses with only one frequency under the first-order approximation.

关 键 词：Quantum control Population transfer Laser pulse Dimension reduction 

分 类 号：O[理学]