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Chin. Phys. B, 2012, Vol. 21(7): 070301    DOI: 10.1088/1674-1056/21/7/070301
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A new type of photon-added squeezed coherent state and its statistical properties

Zhou Jun(周军)a)b)†, Fan Hong-Yi(范洪义)b), and Song Jun(宋军) a)b)
a Department of Material and Chemical Engineering, West Anhui University, Liu'an 237012, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
Abstract  We construct a new type of photon-added squeezed coherent state generated by repeatedly operating the bosonic creation operator on a new type of squeezed coherent state [Fan H Y and Xiao M 1996 Phys. Lett. A 220 81]. We find that its normalization factor is related to single-variable Hermite polynomials. Furthermore, we investigate its statistical properties, such as Mandel's Q parameter, photon-number distribution, and Wigner function. The nonclassicality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function.
Keywords:  non-Gaussian state      Hermite polynomial      squeezed coherent state      Wigner function  
Received:  21 December 2011      Revised:  07 January 2012      Accepted manuscript online: 
PACS:  03.65.-w (Quantum mechanics)  
  42.50.-p (Quantum optics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10905015 and 41104111) and the Excellent Young Talents Fund of Higher Schools in Anhui Province, China (Grant No. 2011SQRL147).
Corresponding Authors:  Zhou Jun     E-mail:  zhj0064@mail.ustc.edu.cn

Cite this article: 

Zhou Jun(周军), Fan Hong-Yi(范洪义), and Song Jun(宋军) A new type of photon-added squeezed coherent state and its statistical properties 2012 Chin. Phys. B 21 070301

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