增光子压缩真空态的反群聚效应

本文讨论了压缩真空态在玻色湮灭算符的逆算符及玻色产生算符作用下的光子反群聚性质. 结果表明, 在两种情况下所得到的增光子压缩真空态都呈现出反群聚效应, 但前者呈现的反群聚效应与所增加的光子数k以及压缩参数的取值区间有关, 而后者则在相同的压缩参数取值区间内呈现出反群聚效应, 与增加的光子数k无关.     

增、减光子奇偶相干态的Wigner函数

利用Fock态表象下的Wigner函数定义，重构了增、减光子奇偶相干态的Wigner函数，并据此 讨论了它们的非经典性质.结果表明：增光子奇偶相干态总呈现出非经典特征，而减光子奇 偶相干态分别仅在k为偶数和奇数时呈现出非经典特征. 关键词： 奇偶相干态 玻色算符的逆算符 Wigner函数     

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     

Comparison of nonclassicality between photon-added and photon-subtracted squeezed vacuum states

In this paper, we introduce photon-added and photon-subtracted squeezed vacuum state (PASV and PSSV) and obtain their normalized factors, which have the similar forms involved in Lengendre polynomials. Moreover, we give the compact expressions of Wigner function, which are related to single-variable Hermite polynomials. Especially, we compare their nonclassicality in terms of Mandel Q-factor and the negativity of Wigner function.     

减光子压缩真空态的反群聚效应

利用玻色产生算符的逆算符及玻色湮没算符作用于压缩真空态来构造减光子压缩真空态,并通过计算减光子压缩真空态的二阶关联函数来讨论它们的光子反群聚性质。数值计算结果表明,在两种情况下所得到的减光子压缩真空态当湮没光子数k为奇数时均呈现出群聚效应,而当k为偶数时呈现反群聚效应。所呈现的反群聚效应对应的压缩参量η的取值区间与湮没的光子数k有关,在玻色产生箅符的逆算符的作用下随着k的增加,反群聚效应对应的压缩参量η的取值区间扩大,在玻色湮没算符作用下则相反。同时,作出二阶关联函数随压缩参量η变化的曲线来描述减光子压缩真空态所呈现的反群聚效应的变化特性。     

Linear amplifier via the displaced Fock states superposition

The linear amplifier with the superposition of displaced Fock states (DFS’s) as an input field is discussed. The s-parameterized characteristic function (CF) of linear amplifier for the superposition of two DFS’s is considered. Several quantum statistical expectation values for the output of linear amplifier are evaluated once the time dependent CF has been computed. The Glauber secondorder coherence function is calculated. The squeezing properties of the output field are studied. The s-ordered quasiprobability distribution function (QDF) for the output of linear amplifier driven by DFS’s superposition is investigated. The phase properties of the superposition of DFS’s are studied. The s-parameterized phase distribution, obtained by integrating the s-parameterized QDF over radial variable is illustrated.     

Superpositions of the dual family of nonlinear coherent states and their non-classical properties

Nonlinear coherent states (CSs) and their dual families were introduced recently. In this paper, we want to obtain their superposition and investigate their non-classical properties such as antibunching effect, quadrature squeezing and amplitude squared squeezing. For this purpose two types of superposition are considered. In the first type, we neglect the normalization factors of the two components of the dual pair, superpose them and then we normalize the obtained states, while in the second type we superpose the two normalized components and then again normalize the resultant states. As a physical realization, the formalism will then be applied to a special physical system with known nonlinearity function, i.e., Hydrogen-like spectrum. We continue with the (first type of) superposition of the dual pair of Gazeau-Klauder coherent states (GKCSs) as temporally stable CSs. An application of the proposal will be given by employing the Pöschl-Teller potential system. The numerical results are presented and discussed in detail, showing the effects of this special quantum interference.     

激发纠缠相干态的统计性质

将玻色湮灭算符的逆算符作用在纠缠相干态的一个模上得到激发纠缠相干态.该量子态是玻色湮灭算符的偶次幂本征态;由于两个场模间的纠缠,在a模上增加光子不但可以使a模的平均光子数增加,也可以使b模的平均光子数发生变化;当a模上增加光子后,两个场模的亚泊松分布特性和Cauchy-Schwartz不等式的破坏都得到了增强,但模间反关联度反而减弱.     

腔光力系统制备微波非经典态研究进展

腔光力系统作为一种新型的混合量子系统,因其超强耦合度、低温超导条件下极低的噪声、较长的相干时间等优势而成为被广受关注的量子实验平台.本文简要介绍腔光力学及腔光力系统基本原理,对常见腔光力系统进行分类,详细介绍利用广义腔光力系统进行微波非经典量子态制备的相关进展,对其性能优势和待解决问题进行分析,最后总结相关应用场景并对未来的潜在应用领域进行了展望.     

Atomic emission spectra and field non-classical properties

This paper studies the interaction of a Λ-type three-level atom with a single mode field. It discusses the emission spectrum characteristics of the Λ -type three-level atom driven by the photon-added coherent field. By means of the second-order degree of coherence, it shows some nonclassical properties of the cavity field, such as sub-Poissonian photon-number distribution and the two-time intensity--intensity correlation which violates the Cauchy--Schwarz inequality.     

Quantum statistical properties of photon-added spin coherent states

The photon-added spin coherent state as a new kind of coherent state has been defined by iterated actions of the proper raising operator on the ordinary spin coherent state. In this paper, the quantum statistical properties of photon-added spin coherent states such as photon number distribution, second-order correlation function and Wigner function are studied. It is found that the Wigner function shows the negativity in some regions and the second-order correlation function is less than unity. Therefore, the photon-added spin coherent state is a nonclassical state.     

Deformed photon-added entangled squeezed vacuum and one-photon states: Entanglement,polarization, and nonclassical properties

In this paper, after a brief review on the entangled squeezed states, we produce a new class of the continuous-variabletype entangled states, namely, deformed photon-added entangled squeezed states. These states are obtained via the iterated action of the f-deformed creation operator A = f(n)aon the entangled squeezed states. In the continuation, by studying the criteria such as the degree of entanglement, quantum polarization as well as sub-Poissonian photon statistics, the twomode correlation function, one-mode and two-mode squeezing, we investigate the nonclassical behaviors of the introduced states in detail by choosing a particular f-deformation function. It is revealed that the above-mentioned physical properties can be affected and so may be tuned by justifying the excitation number, after choosing a nonlinearity function. Finally, to generate the introduced states, we propose a theoretical scheme using the nonlinear Jaynes–Cummings model.     

增光子圆态及其性质

利用光场产生算符的逆算符作用于圆态来构造增光子圆态.讨论了此态的非经典性质,同时计算并模拟出它的维格纳(Wigner)函数.结果表明,在不同光强下,随着激发数的增大增光子圆态光场的平均光子数增加与减少交替地出现;光子激发后,光场的亚泊松统计特性得到增强,压缩效应却受到抑制.维格纳函数图像显示了增光子圆态显著的非经典性质,发现了光子激发与圆态光强的增大都能使量子态由叠加引起的干涉效应明显增强.另外,在不同叠加数的情况下,通过适当选择参量可使维格纳函数具有相同的变化规律.     

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     

Statistical properties of the output of linear amplifier with superpositions of squeezed displaced Fock states as an input state

The s-parameterized characteristic function for the output field with the superposition of squeezed displaced Fock states (SDFS's) as input field is given. The s-ordered distribution functions for the output field with superposition of SDFS's as input state are investigated. Various moments are calculated by using the s-ordered characteristic function for that field. The Glauber second-order coherence function is calculated. The quadrature squeezing for the output field are discussed. Some Quasiprobability distribution functions of the output fields are plotted as functions of the interaction time. The quadrature squeezing for the output field are discussed. Received 30 September 1998     

奇偶相干态的SU2变换

本文以奇偶相干态为基矢,通过SU_2变换,构造了a~2的各正交归一本征态组,并讨论了它们的非经典效应与SU_2群参数的关系.     

Two-mode excited entangled coherent states and their entanglement properties

This paper introduces two types of two-mode excited entangled coherent states (TMEECSs) |Ψ_±(α,m,n)>, studies their entanglement characteristics, and investigates the influence of photon excitations on quantum entanglement. It shows that for the state |Ψ₊(α,m,m)> the two-mode photon excitations affect seriously entanglement character while the state |Ψ_-(α,m,m)> is always a maximally entangled state, and shows how such states can be produced by using cavity quantum electrodynamics and quantum measurements. It finds that the entanglement amount of the TMEECSs is larger than that of the single-mode excited entangled coherent states with the same photon excitation number.     

Heat capacity and low-frequency vibrational density of states. Inferences for the boson peak of silica and alkali silicate glasses

A simple method is used to determine in an absolute way the low-frequency part of the vibrational density of states, g(ω), from inversion of low-temperature heat capacities of glasses. Calculations have been made from adiabatic measurements performed from 10 to 300 K for vitreous SiO₂ and a series of Li, Na and K silicate glasses with up to 50 mol% metal oxide. In all cases, the calculated low-frequency feature is made up of two bands whose maxima lie between 100 and 140 cm⁻¹ and near 400 cm⁻¹. Both the frequency and intensity of the first peak of g(ω) increase linearly with metal oxide content from pure SiO₂ to the metasilicate stoichiometry, reflecting weaker bonding with nonbridging oxygens in the order Li, Na, K, i.e., in order of increasing cationic radius and mass. As represented by the peaks found below 50 cm⁻¹ in plots of g(ω)/ω² vs. ω and below 20 K in plots of C_p/T³ vs. T, the boson peak varies in a different way with composition. Its intensity increases with increasing polymerization for Li and Na silicates whereas the converse holds true for K silicates. These variations agree with the enhancement of the contribution of floppy modes and transverse acoustic modes to the low-frequency vibrational density of states that has previously been reported, but they also point to the importance of localized vibrations in which network modifier cations participate. For either the first peak of g(ω) or the boson peak, however, the size of the alkali cation exerts a stronger influence than the degree of polymerization of the anionic framework. Finally, the universal phenomenology of the boson peak is borne out by the collapse of the calorimetric data on a single master curve when one plots the measurements in a reduced form by using the intensity and position of the peaks as scaling parameters.     

奇偶二项式光场态的小波变换

利用有序算符内积分方法,小波变换可以表示为被转换态矢|f〉在压缩平移算符U(μ,s)作用下向母小波态矢〈ψ|转换的矩阵元〈ψ|U(μ,s)|f〉. 在此基础上,计算了奇、偶二项式态的小波变换,得到小波变换谱. 结果表明,小波变换谱可以起到识别这些量子力学态的作用,具有直观易辨的优点. 关键词： 小波变换 奇偶二项式态 有序算符内积分