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Chin. Phys. B, 2009, Vol. 18(3): 902-909    DOI: 10.1088/1674-1056/18/3/010
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Wigner function of the thermo number states

Hu Li-Yun(胡利云)a)† and Fan Hong-Yi(范洪义)a)b)
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
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.
Keywords:  thermo Wigner operator      entangled state representation      thermo number states      thermo field dynamics  
Received:  27 June 2008      Revised:  27 July 2008      Accepted manuscript online: 
PACS:  03.65.Ud (Entanglement and quantum nonlocality)  
  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)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10775097 and 10874174).

Cite this article: 

Hu Li-Yun(胡利云) and Fan Hong-Yi(范洪义) Wigner function of the thermo number states 2009 Chin. Phys. B 18 902

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