Non-positiveWigner Function and Non-Gaussianty Generated by Multiple Creation-then-annihilation Coherent State

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• 作者：Jin Xiao ; Chao Xiong ; Hong-Chun Yuan…
• 关键词：Non ; Gaussian operation ; Laguerre ; polynomial ; the negativity of Wigner function ; Non ; Gaussianity
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：55
• 期：3
• 页码：1719-1727
• 全文大小：728 KB
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• 作者单位：Jin Xiao (1) (2) (3)
  Chao Xiong (1) (2)
  Hong-Chun Yuan (1) (2)
  Lei Chen (1) (2)
  Xi-Fang Zhu (1) (3)
  
  1. College of Electrical and Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou, 213002, China
  2. Changzhou Key Laboratory of Optoelectronic Materials and Devices, Changzhou, 213002, China
  3. Changzhou Institute of Modern Optoelectronic Technology, Changzhou, 213002, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

We investigate the nonclassicality of a kind of quantum state (MPCACS) generated by repeatedly operating creation-then-annihilation (CA) on the coherent state (CS). Its normalization factor is arduously derived in compact expression related to the Laguerre-polynomial. We explore two observable nonclassical properties of MPCACS, such as non-positive Wigner function and non-Guassianty, which exhibit their highly nonclassical behaviors depending on m. Here, we adopt the Hilbert-Schmidt distance to quantify its Non-Gaussian characters. Keywords Non-Gaussian operation Laguerre-polynomial the negativity of Wigner function Non-Gaussianity