双参数形变谐振子湮没算符高次幂本征态的量子统计性质

研究双参数形变谐振子湮没算符高次幂本征态的量子统计特性. 结果表明, 当k为偶数时它们都可存在N次方压缩; 并且它们均可呈现反聚束效应.     

Thermal effect and energy-level transition rule for themesoscopic LC circuit with inductance--capacitance coupling

<正>This paper reports that the mesoscopic inductance and capacitance coupling LC circuit is quantized by means of the canonical quantization method.Using the ’invariant eigen-operator’ method,it deduces the energy-level transition rule when the system is disturbed by an external electromagnetic field.At the same time,the quantum fluctuations for the system at finite temperature are examined by virtue of the generalized Hellmann—Feynman theorem.     

New two-mode intermediate momentum-coordinate representation with quantum entanglement and its application

We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product (IWOP) of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new two-mode intermediate momentum-coordinate representation which involves quantum entanglement for a two-particle system is proposed and applied to some two-body dynamic problems. Moreover, the pure-state density matrix | ξ ₁ ,ξ ₂ >_C,DC,D< ξ ₁ ,ξ ₂ | is a Radon transform of Wigner operator.     

相位差与一般相干迭加态压缩特性

研究一般相干态的迭加态|ψ＞=a|β＞ beiψ|mβeiδ＞的k次方压缩特性,结果表明:一般相干态的迭加态和量子涨落的k次方压缩,在m=1时可表为k≠2nπ/δ,此处n是整数;在m≠1时,压缩的次方数可以是偶数也可以是奇数;当δ=π时,无论m[m∈(0.∞)]取何值均存在奇次方压缩,当δ=π/2时,无论m取何值均存在奇次方压缩和偶次方压缩.这说明参数相位差δ对一般相干态的k次方压缩的次方数起关键性的作用.     

奇偶对相干态的维格纳函数和层析图函数

利用纠缠态η〉表象下的维格纳算符,重构了奇偶对相干态的维格纳函数.根据维格纳函数在相空间中随变量ρ和γ的变化规律,讨论了奇偶对相干态的非经典性质和量子干涉效应.研究发现,奇偶对相干态总呈现非经典性质,并且当q取奇数时,奇偶对相干态更容易出现非经典性质.奇偶对相干态的量子干涉效应的显著程度与q取值有关,但对于q的同一取值,奇对相干态的量子干涉效应更为显著.利用纠缠态η〉表象下的维格纳算符Δ1,2(ρ,γ)和纠缠态η,τ1,τ2〉的投影算符之间满足的拉东变换,获得了奇偶对相干态的量子层析图函数.     

Quasiprobability distributions of a new kind of even and odd nonlinear coherent states

Using a numerical computational method, quasiprobability distributions of new kinds of even and odd nonlinear coherent states (EONLCS) are investigated. The results show that the distributions of the new even nonlinear coherent states (NLCS) are distinct from those of the new odd NLCS and imply that the new EONLCS always exhibit some different nonclassical effects. Finally, with the aid of newly introduced intermediate coordinate-momentum representation in quantum optics, the tomograms of the new EONLCS are calculated. This is a new way of obtaining the tomogram function.     

Jaynes－Cummings模型中辐射场的振幅N次方压缩特性

本文研究了一初始处于激发态的二能级原子与相干态光场相互耦合的Ｊａｙｎｅｓ－Ｃｕｍｍｉｎｇｓ模型中场的振幅Ｎ次方压缩特性，给出了其压缩度随光场的初始平均光子数和压缩阶数的变化规律。     

无耗散介观电感耦合电路的库仑阻塞和电荷的量子效应

基于介观电路中电荷应是量子化的这一基本事实,给出了介观电感耦合电路的量子理论和库仑阻塞条件,并讨论了该介观电感耦合电路的量子涨落. 关键词： 介观电路 电感耦合 电荷的不连续性 库仑阻塞 量子涨落     

Q变形非简谐振子广义奇偶相干态的高阶压缩特性

给出了Q变形的非简谐振子广义奇偶相干态的完备性证明,并且研究了它们的高阶压缩特性.结果表明,它们可组成一个完备的Hilbert空间,且均可呈现奇数阶压缩效应.     

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