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›› 2012, Vol. 29 ›› Issue (1): 17-26.DOI: 10.7523/j.issn.2095-6134.2012.1.003

• Research Articles • Previous Articles     Next Articles

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 Online: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

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

CLC Number: