中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110301-110301.doi: 10.1088/1674-1056/20/11/110301

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Distribution of non-Markovian intervals for open qubit systems

郑艳萍, 唐宁, 王国友, 曾浩生   

  1. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2011-05-20 修回日期:2011-06-29 出版日期:2011-11-15 发布日期:2011-11-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11075050), the National Key Basic Research Program of China (Grant No. 2007CB925204), and the Construct Program of the National Key Discipline Ministry of Education of China.

Distribution of non-Markovian intervals for open qubit systems

Zheng Yan-Ping(郑艳萍), Tang Ning(唐宁), Wang Guo-You(王国友), and Zeng Hao-Sheng(曾浩生)   

  1. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha 410081, China
  • Received:2011-05-20 Revised:2011-06-29 Online:2011-11-15 Published:2011-11-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11075050), the National Key Basic Research Program of China (Grant No. 2007CB925204), and the Construct Program of the National Key Discipline Ministry of Education of China.

摘要: We study the non-Markovianity of open qubit systems using the measure N proposed by Breuer, Laine and Piilo [Phys. Rev. Lett. 103 210401 (2009)]. We find that for the three types of quantum noises, amplitude-damping, dephasing and depolarizing noises, there exist some non-Markovian time intervals whose distribution is independent of the selection of the pair of initial states. Therefore, the maximization in the definition of measure N can be actually removed without influencing the detection of non-Markovianity.

关键词: open quantum system, non-Markovianity, non-Markovian interval

Abstract: We study the non-Markovianity of open qubit systems using the measure $\mathscr{N}$ proposed by Breuer, Laine and Piilo [Phys. Rev. Lett. 103 210401 (2009)]. We find that for the three types of quantum noises, amplitude-damping, dephasing and depolarizing noises, there exist some non-Markovian time intervals whose distribution is independent of the selection of the pair of initial states. Therefore, the maximization in the definition of measure $\mathscr{N}$ can be actually removed without influencing the detection of non-Markovianity.

Key words: open quantum system, non-Markovianity, non-Markovian interval

中图分类号:  (Foundations of quantum mechanics; measurement theory)

  • 03.65.Ta
03.65.Yz (Decoherence; open systems; quantum statistical methods) 42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)