Chin. Phys. Lett.  2008, Vol. 25 Issue (4): 1175-1178    DOI:
Original Articles |
A Measure of Non-Classicality of Even and Odd Coherent States
YE Yong-Hua1;LI Zhi-Jian2;ZENG Gao-Jian3
1Department of Physics, Xiangnan University, Chenzhou 4230002Physical and Electronic Department, Hunan First Normal College, Changsha 4100023Information Science College, Hunan Normal University, Changsha 410081
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YE Yong-Hua, LI Zhi-Jian, ZENG Gao-Jian 2008 Chin. Phys. Lett. 25 1175-1178
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Abstract

A measure of non-classicality of even and odd coherent states is studied. We first calculate the Wigner functions of the even and odd coherent states, which consists of two terms: the positive-definite Gaussian term and the wave term with negativity, and then calculate the integrated value εmax of the wave term of the Wigner functions of the even and odd coherent states in their area with negativity, and use εmax to measure non-classicality of the even and odd coherent states. For the even and odd coherent states with certain photon count, it is very convenient for us to use εmax to measure their non-classicality. The methods of our definition and calculation for εmax have theoretical reference value.

Keywords: 03.65.-w      42.50.-p      42.50.Dv     
Received: 25 September 2007      Published: 31 March 2008
PACS:  03.65.-w (Quantum mechanics)  
  42.50.-p (Quantum optics)  
  42.50.Dv (Quantum state engineering and measurements)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2008/V25/I4/01175
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Articles by authors
YE Yong-Hua
LI Zhi-Jian
ZENG Gao-Jian
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[6]Scully Marlan O and Suhail Zubairy M 2000 QuantumOptics (Cambridge: Cambridge University Press)
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[8] Benedict M G and Czirj\'{ak A 1999 Phys. Rev. A 60 4034
[9] F\"{oldi P, Czirj\'{ak A,Moln\'{ar B and Benedict M G 2002 Opt. Express 10 376
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