中国物理B ›› 2016, Vol. 25 ›› Issue (4): 40302-040302.doi: 10.1088/1674-1056/25/4/040302

• GENERAL • 上一篇    下一篇

Kraus operator solutions to a fermionic master equation describing a thermal bath and their matrix representation

Xiang-Guo Meng(孟祥国), Ji-Suo Wang(王继锁), Hong-Yi Fan(范洪义), Cheng-Wei Xia(夏承魏)   

  1. 1 School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China;
    2 Shandong Provincial Key Laboratory of Optical Communication Science and Technology, Liaocheng University, Liaocheng 252059, China;
    3 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China;
    4 Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:2015-10-08 修回日期:2015-12-18 出版日期:2016-04-05 发布日期:2016-04-05
  • 通讯作者: Xiang-Guo Meng E-mail:mengxiangguo1978@sina.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11347026), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2013AM012 and ZR2012AM004), and the Research Fund for the Doctoral Program and Scientific Research Project of Liaocheng University, Shandong Province, China.

Kraus operator solutions to a fermionic master equation describing a thermal bath and their matrix representation

Xiang-Guo Meng(孟祥国)1,2, Ji-Suo Wang(王继锁)1,2,3, Hong-Yi Fan(范洪义)4, Cheng-Wei Xia(夏承魏)1,2   

  1. 1 School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China;
    2 Shandong Provincial Key Laboratory of Optical Communication Science and Technology, Liaocheng University, Liaocheng 252059, China;
    3 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China;
    4 Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • Received:2015-10-08 Revised:2015-12-18 Online:2016-04-05 Published:2016-04-05
  • Contact: Xiang-Guo Meng E-mail:mengxiangguo1978@sina.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11347026), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2013AM012 and ZR2012AM004), and the Research Fund for the Doctoral Program and Scientific Research Project of Liaocheng University, Shandong Province, China.

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摘要： We solve the fermionic master equation for a thermal bath to obtain its explicit Kraus operator solutions via the fermionic state approach. The normalization condition of the Kraus operators is proved. The matrix representation for these solutions is obtained, which is incongruous with the result in the book completed by Nielsen and Chuang [Quantum Computation and Quantum Information, Cambridge University Press, 2000]. As especial cases, we also present the Kraus operator solutions to master equations for describing the amplitude-decay model and the diffusion process at finite temperature.

关键词: Kraus operator solution, matrix representation, thermal bath, fermionic entangled state representation

Abstract: We solve the fermionic master equation for a thermal bath to obtain its explicit Kraus operator solutions via the fermionic state approach. The normalization condition of the Kraus operators is proved. The matrix representation for these solutions is obtained, which is incongruous with the result in the book completed by Nielsen and Chuang [Quantum Computation and Quantum Information, Cambridge University Press, 2000]. As especial cases, we also present the Kraus operator solutions to master equations for describing the amplitude-decay model and the diffusion process at finite temperature.

Key words: Kraus operator solution, matrix representation, thermal bath, fermionic entangled state representation

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

  • 03.65.Yz
03.65.Ud (Entanglement and quantum nonlocality)