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
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
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.
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.
YE Yong-Hua;LI Zhi-Jian;ZENG Gao-Jian. A Measure of Non-Classicality of Even and Odd Coherent States[J]. 中国物理快报, 2008, 25(4): 1175-1178.
YE Yong-Hua, LI Zhi-Jian, ZENG Gao-Jian. A Measure of Non-Classicality of Even and Odd Coherent States. Chin. Phys. Lett., 2008, 25(4): 1175-1178.
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2008, Vol. 25 
