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Hamiltonian Reduction of Quantum Systems Controlled by Pulses
Qiang Xu,Yao-xiong Wang,Feng Shuang*,Herschel Rabitz
Author NameAffiliationE-mail
Qiang Xu Institute of Intelligent Machines, Chinese Academy of Sciences, Hefei 230031, ChinaDepartment of Automation, University of Science and Technology of China, Hefei 230026, China  
Yao-xiong Wang Institute of Intelligent Machines, Chinese Academy of Sciences, Hefei 230031, China  
Feng Shuang* Department of Automation, University of Science and Technology of China, Hefei 230026, China fshuang@iim.ac.cn 
Herschel Rabitz Department of Chemistry, Princeton University, Princeton NJ 08544, USA  
Abstract:
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.
Key words:  Quantum control, Population transfer, Laser pulse, Dimension reduction
FundProject:
脉冲控制量子系统的哈密顿量约化
徐强,王耀雄,双丰*,H. Rabitz
摘要:
探索了脉冲控制的含近简并能级的有限维量子系统的哈密顿量的约化.由一个非简并基态能级和几个近简并激发态能级组成的量子系统被一个短脉冲控制,目标是控制所有激发态的布居数之和.考虑了两个可以看成等价二能级系统的例子,当脉冲强度比较弱时,得到了原始系统和约化系统的简单关系;当脉冲强度比较强时,对于只含一个频率的脉冲,一阶近似的关系也是存在的.
关键词:  量子控制,布居数转移,激光脉冲,维数约化
DOI:10.1088/1674-0068/24/04/378-382
分类号: