Construction of Laguerre polynomial's photon-added squeezing vacuum state and its quantum properties

作     者：卢道明 Dao-Ming Lu

作者机构：College of Mechanic and Electronic EngineeringWuyi UniversityWuyishan 354300China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2020年第29卷第3期

页      面：70-74页

核心收录：

学科分类：070207[理学-光学] 07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：Project supported by the Natural Science Foundation of Fujian Province of China(Grant No.2015J01020)。 

主　　题：quantum optics Laguerre polynomial's operator squeezing vacuum state quantum property 

摘      要：Laguerre polynomial s photon-added squeezing vacuum state is constructed by operation of Laguerre polynomial s photon-added operator on squeezing vacuum state. By making use of the technique of integration within an ordered product of operators, we derive the normalization coefficient and the calculation expression of (a^1a^+). Its statistical properties, such as squeezing, the anti-bunching effect, the sub-Poissonian distribution property, the negativity of Wigner function, etc., are investigated. The influences of the squeezing parameter on quantum properties are discussed. Numerical results show that,firstly, the squeezing effect of the 1-order Laguerre polynomial s photon-added operator exciting squeezing vacuum state is strengthened, but its anti-bunching effect and sub-Poissonian statistical property are weakened with increasing squeezing parameter;secondly, its squeezing effect is similar to that of squeezing vacuum state, but its anti-bunching effect and subPoissonian distribution property are stronger than that of squeezing vacuum state. These results show that the operation of Laguerre polynomial s photon-added operator on squeezing vacuum state can enhance its non-classical properties.