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中国科学院大学学报 ›› 2012, Vol. 29 ›› Issue (1): 17-26.DOI: 10.7523/j.issn.2095-6134.2012.1.003

• 数学与物理学 • 上一篇    下一篇

单个控制场下开放量子系统的状态转移

杨洁, 丛爽   

  1. 中国科学技术大学自动化系, 合肥 230027
  • 收稿日期:2010-11-26 修回日期:2010-12-27 发布日期:2012-01-15
  • 基金资助:

    Supported by the National Key Basic Research Program (2009CB929601), the National Science Foundation of China (61074050), and the undergraduate innovation fund of USTC

States transfer of open quantum systems with single control field

YANG Jie, CONG Shuang   

  1. Department of Automation, University of Science and Technology of China, Hefei 230027, China
  • Received:2010-11-26 Revised:2010-12-27 Published:2012-01-15
  • Supported by:

    Supported by the National Key Basic Research Program (2009CB929601), the National Science Foundation of China (61074050), and the undergraduate innovation fund of USTC

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.

关键词: 开放量子系统, 最优控制, 状态转移, 自旋1/2粒子系统

Abstract:

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.

Key words: open quantum systems, optimal control, state transfer, spin 1/2 particle system

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