New Even and Odd Nonlinear Coherent States and Their Nonclassical Properties

Based on Roy and Roy's work (Roy, B. and Roy, P. (2000). Journal of Optics B: Quantum Semiclass. Opt. 2, 65), a new type of even and odd nonlinear coherent states (NCSs) are defined. They result from Schrödinger cat states for deformed field. Using the numerical method, we study nonclassical properties of the new even and odd NCSs. It is shown that quantum statistical properties of the new even and odd NCSs are quite different from those of the usual even and odd coherent states (CSs). It is found that the squeezing only consists in the new even NCS, and the amplitude-squared squeezing and antibunching effect appear for both new even and odd NCSs in some ranges of ||.     

新的奇偶非线性相干态及其非经典性质

构造出了一种新的奇偶非线性相干态, 并借助于数值计算方法研究了它们的压缩、振幅平方压缩、反聚束和相位概率分布等非经典性质. 结果表明, 与通常的奇偶相干态和非线性奇偶相干态不同, 在参数|λ|的不同取值范围内, 新的奇偶非线性相干态在Y₁和Y₂两个方向均可呈现振幅平方压缩效应, 而压缩效应仅在偶非线性相干态的X₂方向上呈现, 反聚束效应仅在奇非线性相干态中呈现. 另外, 通过研究新的奇偶非线性相干态相位概率分布, 发现新的奇偶非线性相干态具有完全不同的量子干涉特性. 关键词： 新的奇偶非线性相干态 压缩效应 反聚束 相位概率分布     

Kerr偶奇相干态及其非经典性

本文对Ker偶奇相干态及其非经典性质进行了研究。结果表明:Kerr偶相干态可呈现周期性的二阶压缩效应,Kerr奇相干态则不存在这种压缩效应;但两者均可呈现周期性的振幅平方压缩效应,这与通常偶奇相干态的情形有所不同。     

第二类奇偶q相干态及其性质

本文以新的参数化方式引入第二类奇偶 q 相干态,并定义了 q 压缩概念。第二类奇偶 q 相干态的压缩效应和反聚束效应类似于奇偶相干态,但存在q压缩效应。     

一种新的偶奇非线性相干态中测量相位算符的压缩效应

利用Bamett和pegg提出的测量相位算符讨论了一种新的偶奇非线性相干态的压缩效应。结果表明，在这种偶奇非线性相干态中测量相位算符不存在CN和SN类压缩，只存在CS类压缩。利用数值计算方法研究了CS类压缩效应，结果表明与通常的偶奇相干态的不同的是，偶非线性相干态在大区域内出现压缩效应而奇非线性相干态在小区域内才出现压缩效应。     

The nonclassical properties of the superposition involving two squeezing coherent states

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叠加qs相干态的非经典性质

构造了叠加qs相干态,并研究了它的压缩性质、反聚束效应等非经典性质.数值计算了叠加系数和形变参数q与s对非经典性质的影响.奇偶qs相干态的有关结果作为特例包含在本文的一般结论之中.     

Even and Odd Nonlinear Negative Binomial States

In this paper the even and odd nonlinear negative binomial states of the radiation field are introduced. These states interpolates between even (odd) number states and the even (odd) nonlinear coherent states. The Glauber second-order correlation function is calculated for these states. The squeezing phenomenon (normal and amplitude-squared squeezing), the quasi-probability distribution function Q-function, Wigner-function and the phase properties, are also discussed. Examination of the resonance fluorescence against the present state is given. It has been shown that the atomic inversion is sensitive to any variation in the even and odd nonlinear negative binomial number M and the nonlinearity parameter η.     

增加光子奇偶q相干态的高阶压缩效应

通过数值计算研究了增加光子奇q相干态a_q^+m|α>_q^o和增加光子偶q相干态a_q^+m|α>_q^e的高阶压缩效应.结果表明:当q较小时,态a_q^+m|α>_q^o和a_q^+m|α>_q^e都能呈现出强烈的奇次方阶压缩效应,但无偶次方阶压缩效应,而且奇次方阶压缩随m的增大而增强.当m=0时a_q^+m|α>_q^o和a_q^+m|α>_q^e为光场振幅偶次幂的最小测不准态,但当m≠0时它们不是光场振幅偶次幂的最小测不准态.     

玻色算符的逆算符及其相关的奇偶相干态

利用玻色算符的逆算符a^^-1和a^^+-1，定义了一类新的奇偶相干态 ，即增、减光子奇偶相干态.它们分别是算符为a^^-ka^^k+2,a^^+-ka ^²a^^+k的本征态，可由a^^-k和a^^+-k分别作用于通常的奇偶相干态来产生. 数值计算结 果表明，这类新的奇偶相干态都是非经典的光场态，它们都能呈现出光子反群聚效应 关键词： 玻色算符的逆算符 奇偶相干态 光子反群聚效应 量子压缩效应     

相干态的叠加态的量子统计性质

本文研究了相干态的叠加态的量子统计性质.结果表明,相干态的叠加态仅存在奇次幂的高阶压缩效应,而不存在偶次幂的高阶压缩效应.给出了高阶压缩和高阶反聚束效应与叠加系数间的函数关系.高阶压缩要求叠加系数的辐角取值满足cosθ>exp(-2|α|²),而高阶反聚束效应则要求0.5π<θ<1.5π.奇偶相干态的有关结果均作为特例应包含在本文的一般结论之中.     

Superposition of two coherent states π out of phase with average photon number as relative phase

This paper discusses nonclassical features of the superposition of two coherent states π out of phase with each other and parameterized solely by amplitude α, that is, when the relative phase has a relationship with average photon number ∣α∣². In particular, it discusses oscillatory and sub-Poissonian photon statistics, degree of quadrature squeezing, and quasiprobability distribution functions. We examine that some nonclassical properties of these states are different from those of the even and odd coherent states.     

奇偶q-变形相干态的高阶压缩效应

研究了奇偶q变形相干态中光场的高阶压缩效应.数值计算结果发现,奇偶q变形相干态中光场的高阶压缩效应与参数值q有关,当参数q取偏离1较大的值时,q变形奇偶相干态均可具有奇次方阶压缩效应却无偶次方阶压缩效应,这与通常奇偶相干态的压缩特性是不同的 关键词： 光场 q变形相干态 高阶压缩效应     

偶奇qs相干态的非经典特性

利用数值计算方法研究了ｑ和ｓ畸变对双参数形变偶奇ｑｓ相干态量子统计特性的委现偶奇ｑｓ相干态与通常的偶奇相干态有着显著不同的量子统计性质，压缩效应和反聚束效应均可在一定条件下的两种双参数畸变态中出现，偶奇ｑｓ相干态和通常偶奇相干态的差异随ｑ值偏离１越大和ｓ的取值越小而越大。     

纠缠相干态的压缩特性

研究纠缠相干态的量子纠缠特性和压缩特性。计算和分析了纠缠相干态的纠缠度和单模、双模压缩特性。讨论了纠缠和压缩二种非经典效应的关系，发现可以通过操纵纠缠度来达到增加或减弱压缩的目的。并指出了单模压缩和双模压缩表现出完全不同的特性。     

Phase properties of new even and odd nonlinear coherent states

A new kind of even and odd nonlinear coherent states (EONLCSs) is introduced. Using the Pegg-Barnett formalism of phase operator we study the phase probability distributions of the new kind of EONLCSs. The numerical computation results show that the phase probability distributions for the new EONLCSs can clearly exhibit the different features of quantum interference and distinct from those of the ordinary even and odd coherent states (EOCSs) and EONLCSs. Based on the phase probability distributions we investigate the phase and number squeezing of the new EONLCSs. It is found that these states exhibit number squeezing for different ranges of the parameter |λ|.     

Properties of Amplitude N th-power Squeezing of Even and Odd qs-Coherent States

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Quantum Statistical Properties of Even and Odd qs-Coherent States

In this paper, we use the numerical method to study the influences of q and s deformations on the quantum statistical Properties of even and odd qs-coherent states. It is shown that nonclassical properties of the even and odd qs-coherent states are very different from those of the usual even and odd coherent states. It is found that squeezing and antibunching effect appear for both even and odd qs-coherent states in some range of the parameters q, s and r. The smaller the q (q < 1) and s are, the.Jarger the difference between the even and odd qs-coherent states and the usual even and odd coherent states is.     

q变形非简谐振子奇偶广义相干态的高阶压缩效应及反聚束效应

研究了q变形非简谐振子奇偶广义相干态的高阶压缩效应和反聚束效应,并就q变量[χ]的两种不同表示情况进行了讨论.数值计算结果表明,q变形非简谐振子奇偶广义相干态均可呈现奇次方阶压缩效应和反聚束效应,这与谐振子情况的光学统计特性是不同的.     

双参数形变谐振子奇偶相干态的高阶压缩特性

研究了双参数qs形变谐振子奇偶相干态中光场的高阶压缩特性,并用数值计算方法定量研究了形变参数q和s对这一特性的影响规律.结果表明,qs形变谐振子奇偶相干态均可能呈现奇次方阶压缩效应却无偶次方阶压缩效应,这与谐振子没有形变时的通常情况是不同的.当q和s取一定值时,在qs形变相干态中谐振子强度r²取值的一定范围内,这种反常特性的范围随着q偏离1越大s取值越小而变大.有关单参数q形变奇偶相干态的结论作为特例包含在本文的一般结论之中.