单模光子增加双模压缩真空态的量子特性

Quantum properties of single-mode photon addition two-mode squeezed vacuum state

将一模产生算符作用在双模压缩真空态上,构建了单模光子增加双模压缩真空态。研究了该量子态另一模的压缩效应、反聚束效应、统计分布和Wigner函数。采用数值计算方法,讨论了产生算符作用次数和双模压缩参数对其量子特性的影响。研究结果表明:b模光场没有呈现压缩效应;随产生算符作用次数的增大,b模的反聚束效应减弱,但其亚泊松分布性质增强;随双模压缩参数的增大,b模的反聚束效应和亚泊松分布性质都减弱。另一方面,随产生算符作用次数增大,Wigner函数的负性减弱。

We construct a single-mode photon addition two-mode squeezed vacuum state （SMPZSVT） by adding a-mode m-photon to a two-mode squeezed vacuum state. Its normalization constant is derived by integration with an ordered product of operators. Non-classical properties of b-mode in SMPZSVT are investigated in terms of quadrature squeezing, second-order correlation function, Mandel＇s parameter, and the negativity of Wigner function. Using numerical methods, the effects of the number of a-mode photon- addition and the two-mode squeezing parameter on its non-classical properties are discussed. The results show that first, b-mode of SMPZSVT does not display squeezing effect;second,as the number of a-mode photon addition increases,the anti-bunching effect of b-mode is weakened, but its sub-Poisson distribu- tion is strengthened; third, as the two-mode squeezing parameter increases, its anti-bunching effect and sub-Poisson distribution are both weakened;last, as the number of a-mode photon addition increases, the negativity of b-mode Wigner function is weakened.