Nonclassicality of Any Number Photon Added-then-subtractedand Subtracted-then-added Coherent States
廖小鸽 LIAO Xiao-ge, 张浩亮 ZHANG Hao-liang, 胡利云 HU Li-yun · Acta Sinica Quantum Optica · 2013
We study the nonclassical properties of arbitrary number photon creation-then-annihilation operation(CA) and annihilation-then-creation operation(AC) to the coherent states,and give the analytical expression.Because of the noncoummutativity of between annihilation operator and the creation operator,the states generated by AC operation and CA operation have different nonclassical properties.We firstly derive the analytical expressions of normalization factor for these states,and then study the statistics characteristics by some nonclassical properties,such as the Mandel Q parameters,the photon number distribution and the Wigner function.It is shown that these states have a very distinct nonclassical properties,and the nonclassical state generated by AC operation can present more clear nonclassicality than those generated by the CA operation.