Nonclassicality Generated by Applying Hermite-Polynomials Photon-Added Operator on the Even/Odd Coherent States

作者：Ren, Gang^*; Du, Jian-ming; Zhang, Wen-hai; Yu, Hai-jun

来源：International Journal of Theoretical Physics, 2017, 56(5): 1537-1549.

DOI：10.1007/s10773-017-3293-y

• Hermite polynomials
• Wigner function
• Nonclassical state
• Intelligent state
• Squeezing effect

We examine nonclassical properties of the quantum state generated by applying Hermite polynomials photon-added operator on the even/odd coherent state (HPECS/HPOCS). Explicit expressions for its nonclassical properties, such as quantum statistical properties and squeezing phenomenon, are obtained. It is interesting to find that the HPECS/HPOCS exhibits sub-Poissonian distribution, anti-bunching effects and negative values of the Wigner function. Thus, we confirm the HPPECS/HPPOCS is a new nonclassical state. Finally, we reveal that the HPPECS/HPPOCS is a novel intelligent state by its squeezing effects in position distribution and quadrature squeezing.

• 出版日期2017-5
• 单位淮南师范学院