中国物理B ›› 2009, Vol. 18 ›› Issue (3): 902-909.doi: 10.1088/1674-1056/18/3/010

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Wigner function of the thermo number states

胡利云1, 范洪义2   

  1. (1)Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; (2)Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China;Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:2008-06-27 修回日期:2008-07-27 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10775097 and 10874174).

Wigner function of the thermo number states

Hu Li-Yun(胡利云)a)† and Fan Hong-Yi(范洪义)a)b)   

  1. a Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • Received:2008-06-27 Revised:2008-07-27 Online:2009-03-20 Published:2009-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10775097 and 10874174).

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摘要： Based on thermo field dynamics (TFD) and using the thermo Wigner operator in the thermo entangled state representation we derive the Wigner function of number states at finite temperature (named thermo number states). The figure of Wigner function shows that its shape gets smoothed as the temperature rises, implying that the quantum noise becomes larger.

关键词: thermo Wigner operator, entangled state representation, thermo number states, thermo field dynamics

Abstract: Based on thermo field dynamics (TFD) and using the thermo Wigner operator in the thermo entangled state representation we derive the Wigner function of number states at finite temperature (named thermo number states). The figure of Wigner function shows that its shape gets smoothed as the temperature rises, implying that the quantum noise becomes larger.

Key words: thermo Wigner operator, entangled state representation, thermo number states, thermo field dynamics

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
42.50.Dv (Quantum state engineering and measurements) 42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps) 02.50.Ng (Distribution theory and Monte Carlo studies)