Legendre多项式算符激发压缩真空态的非经典性质
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(武夷学院机电工程学院,农机智能控制与制造福建省高校重点实验室,福建 武夷山 354300)

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范有机 (1979-),男,福建省建瓯市人,讲师,研究方向为量子光学.

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Nonclassical properties of Legendre polynomial′s photon added squeezing vacuum state
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(College of Mechanic and Electronic Engineering,Agricultural Machinery Intelligent Control and Manufacturing Technology of Fujian Provincial Key Laboratory,Wuyi University,Wuyishan 354300,China)

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    摘要:

    利用算符激发作用产生新的量子态的方法,将Le gendre多项式算符作用在压缩真 空态上,构建了Legendre多项式算符激发压缩真空态。采用数值计算方法,讨论了它的压缩 效应,反聚束效应,亚泊松分布等非经典性质。研究结果表明:Legendre多项式算符激发压 缩真空态呈现出压缩效应,但它的压缩效应比压缩真空态更弱;它还呈现出压缩真空态没有 的反聚束效应和亚泊松分布性质,但它的反聚束效应随压缩参数增大而减弱;另一方面,随 Legendre多项式阶数增大,它的压缩效应,反聚束效应,亚泊松分布均减弱。

    Abstract:

    Legendre polynomial′s photon added squeezing vacuum state is const ructed by operation of Legendre polynomial′s photon added operator on a squee zi ng vacuum state.By the technique of integration within an ordered product of op erators,its normalization coefficient is derived.Addition,we study its noncla ssical properties by examining the quadrature squeezing,anti-bunching effect, a nd sub-poissonian statistical property.The influences of the squeezing paramet e r and the order number of Legendre polynomial on its nonclassical properties are discussed.Numerical results show:firstly,it displays the squeezing effect,b ut its squeezing effect is weaker than that of a squeezing vacuum;secondly,alt hough the squeezing vacuum state has no the anti-bunching effect and the sub-p oi ssonian statistical property,it exhibits the anti-bunching effect and the sub -p oissonian statistical property;thirdly,as the squeezing parameter increases,i ts squeezing effect is strengthened,but its anti-bunching is weakened;fourthl y ,its squeezing effect,anti-bunching,and sub-poissonian statistical property are weakened with the increasing of the order number of Legendre polynomial.

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范有机,卢道明. Legendre多项式算符激发压缩真空态的非经典性质[J].光电子激光,2020,31(7):726~730

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  • 收稿日期:2020-06-10
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  • 在线发布日期: 2020-10-21
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