中国物理B ›› 2011, Vol. 20 ›› Issue (6): 60304-060304.doi: 10.1088/1674-1056/20/6/060304

• GENERAL • 上一篇    下一篇

Non-Markovian dynamics of a qubit in a reservoir: different solutions of non-Markovian master equation

丁邦福, 王小云, 唐艳芳, 米贤武, 赵鹤平   

  1. College of Physical Science and Information Engineering, Jishou University, Jishou 416000, China
  • 收稿日期:2010-10-21 修回日期:2011-02-12 出版日期:2011-06-15 发布日期:2011-06-15
  • 基金资助:
    Project supported by the Natural Science Foundation of Hunan Province of China (Grant No. 09JJ6011) and the Natural Science Foundation of the Education Department of Hunan Province of China (Grant Nos. 06C652 and 07C528).

Non-Markovian dynamics of a qubit in a reservoir: different solutions of non-Markovian master equation

Ding Bang-Fu (丁邦福), Wang Xiao-Yun (王小云), Tang Yan-Fang (唐艳芳), Mi Xian-Wu (米贤武), Zhao He-Ping (赵鹤平)   

  1. College of Physical Science and Information Engineering, Jishou University, Jishou 416000, China
  • Received:2010-10-21 Revised:2011-02-12 Online:2011-06-15 Published:2011-06-15
  • Supported by:
    Project supported by the Natural Science Foundation of Hunan Province of China (Grant No. 09JJ6011) and the Natural Science Foundation of the Education Department of Hunan Province of China (Grant Nos. 06C652 and 07C528).

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摘要： We present a non-Markovian master equation for a qubit interacting with a general reservoir, which is derived according to the Nakajima-Zwanzig and the time convolutionless projection operator technique. The non-Markovian solutions and Markovian solution of dynamical decay of a qubit are compared. The results indicate the validity of non-Markovian approach in different coupling regimes and also show that the Markovian master equation may not precisely describe the dynamics of an open quantum system in some situation. The non-Markovian solutions may be effective for many qubits independently interacting with the heated reservoirs.

Abstract: We present a non-Markovian master equation for a qubit interacting with a general reservoir, which is derived according to the Nakajima-Zwanzig and the time convolutionless projection operator technique. The non-Markovian solutions and Markovian solution of dynamical decay of a qubit are compared. The results indicate the validity of non-Markovian approach in different coupling regimes and also show that the Markovian master equation may not precisely describe the dynamics of an open quantum system in some situation. The non-Markovian solutions may be effective for many qubits independently interacting with the heated reservoirs.

Key words: Nakajima-Zwanzig and time convolutionless projection operator technique, non-Markovian solutions, Markovian solutions, correlation function, qubit

中图分类号:  (Decoherence; open systems; quantum statistical methods)

  • 03.65.Yz
42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)