摘要
研究了开放量子系统的状态转移问题.利用刘维尔超算符将其矩阵动力学模型转换为向量形式.给定一个耗散的量子系统的动力学模型,在一个随时变化的外部控制场中,以系统状态和目标状态的密度矩阵的误差平方作为性能指标,推导出改进的状态转移最优控制律.在数值仿真实验中,我们研究了一个热浴中的自旋1/2粒子系统在单个外部控制场作用下的动力学特性.在所提出的最优控制作用下,分别选择本征态、纯态和混合态作为系统的初始状态和目标状态.对此系统中状态转移的实验结果进行了性能对比分析.
Dynamical model of open quantum systems in a matrix form is transformed into the model in a vector form using Liouville super-operator.Given a dynamical model of a dissipative quantum system in the presence of a time-dependent external control field,we achieve an improved optimal control law with the squared error between density matrices of system state and target state as the performance index.The states transfer experiment on a spin 1/2 particle system is carried out.Under the proposed optimal control,eigenstates,pure states,and mixed states are taken as initial and target states of the system,respectively.Detailed comparative analyses are given.
作者
杨洁
丛爽
YANG Jie;CONG Shuang(Department of Automation,University orscience and Technology of China,Hefei 230027,China)
出处
《中国科学院研究生院学报》
CAS
CSCD
北大核心
2012年第1期17-26,共10页
Journal of the Graduate School of the Chinese Academy of Sciences
基金
Supported by the National Key Basic Research Program(2009CB929601)
the National Science Foundation of China(61074050)
the undergraduate innovation fund of USTC
