Relations Between Characteristic Function, Positive P-Representation and Coherent Thermal State

We employ the coherent thermal states (a kind of entangled states) in thermal field dynamics to establish a complete entangled state formalism expressing pseudo-classical representations of density operator for light field.Especially, the relationship between the coherent thermal state and the characteristic function and the positive P representation in quantum optics theory are obtained.     

Thermal Wigner Operator in Coherent Thermal State Representation and Its Application

In the coherent thermal state representation we introduce thermal Wigner operator and find that it is “squeezed” under the thermal transformation.The thermal Wigner operator provides us with a new direct and neat approach for deriving Wigner functions of thermal states.     

The P-representation on Nonlinear Coherent State Basis

Using the technique of integration within an ordered product of nonlinear Bose operators and by composing the nonlinear coherent state's over-completeness relation, we construct the corresponding P-representation theory. The generalized P-representation for some nonlinear Bose operators can be established.     

Wigner Distribution Function and Husimi Function of a Kind of Squeezed Coherent State

We find a new x-parameter squeezed coherent state （p, q）κ representation, which possesses well-behaved features, i.e., its Wigner function＇s marginal distribution in the ＂q-direction＂ and in the ＂p-direction＂ is the Gauss/an form exp（-κ（q＇ - q）2}, and exp{（p＇ - p）2/κ}, respectively. Based on this, the Husimi function of（p, q）κ is also obtained, which is a Gauss/an broaden version of the Wigner function. The （P, q）κ state provides a good representative space for studying various properties ot the Husimi operator.     

基于纠缠态表象和自旋相干态的新复变函数空间

本文利用有序算符内的积分(IWOP)技术,构造了一个基于单变量厄米多项式H2j(ξ*+τξ/2√τ)的新复变函数空间,该空间与纠缠态表象及施温格玻色环境下的自旋相干态有关。推导出了包含二元厄米多项式的二项式定理,有助于构造新的复变函数空间。同时还提出了一种新的基于H2j(ξ*+τξ/2√τ)的积分变换及其逆变换,这对于推导某些算符恒等式是很有用的。     

Entanglement Involved in Pair Coherent State Studied via Wigner Function Formalism

We calculate Wigner function, tomogram of the pair coherent state by using its Sehmidt decomposition in the coherent state representation. It turns out that the Wigner function can be seen as the quantum entanglement （QE） between two two-variable Hermite polynomials （TVHP） and the tomogram is further simplified as QE of two single-variable Hermite polynomials. The Husimi function of pair coherent state is also calculated.     

Entanglement Involved in Pair Coherent State Studied via Wigner Function Formalism

We calculate Wigner function, tomogram of the pair coherent state byusing its Schmidt decomposition in the coherent state representation. It turns out that the Wigner function can be seen as the quantum entanglement (QE) between two two-variable Hermite polynomials (TVHP) and the tomogram is further simplified as QE of two single-variable Hermite polynomials. The Husimi function of pair coherent state is also calculated.     

Pseudo-Classical Partition Function of Spin One-Half Derived by Coherent State Method

Using the bosonic coherent state representation and the Schwinger bosonic operator realization of angular momentum we find the formula for the quantum Hamiltonian H =iaiUijUjl a1 for SU（2） rotation U, in this way we further specify the angular velocity w, iUU = （1/2）σ·ω, where σ is the Pauli matrix. Though the spin as a quantum observable has no classical correspondence, we may still mimic it as a rigid body rotation characterized by 3 Euler angles, and calculate its Pseudo-classical rotational partition function of spin one-half.     

Atomic Coherent State, Entangled State and Phase Operator for Studying Interference Between Two Bose-Einstein Condensates

For studying the interference between two Bose-Einstein condensates we introduce the atomic coherentstate （ACS） in the Schwinger bosonic realization along with the phase operator to directly calculate the interference pattern with steady relative phase cos Ф. Eigenstates of the density operator of condensates are classified as ACS is also demonstrated. The entangled state representation is used in some calculations.     

热真空态的Husimi分布函数

根据量子统计中相空间的理论知识,采用两种不同的方法给出了热真空态的Husimi分布函数,并给出了热真空态的Wehrl墒.最后与相应混合态的Husimi分布函数进行比较,得出来热真空态的Husimi分布函数与混合态的Husimi分布函数是相一致的结论.     

Photon-Added Entangled Coherent State

We propose a feasible scheme to create the single-mode or two-mode photon-added entangled coherent state (PAECS) and then compare its entanglement degree with that of the entangled coherent state or even the photon-added-and-subtracted entangled coherent state.     

双模场真空态与相干态的叠加态的准几率分布函数

辐射场的非经典态在量子光学中占有十分重要的位置,在实践中有着非常广泛的应用背景,因此如何构造出各种各样的非经典态引起了越来越多的人的极大兴趣和重视。本文中,我们构造了辐射场的一类新的非经典态,称之为双模真空态与相干态的叠加态。我们对该态做了详细的数值计算以及量子统计性质的讨论。我们构造了双模真空态与相干态的叠加态的数学结构,讨论了它的准几率分布函数。数值计算结果表明,双模真空态与相干态的叠加态具有非常显著的非经典性质,因此双模真空态与相干态的叠加态是一类新的非经典光场态。     

Properties of Coherent State for Hydrogen Atom

We construct the coherent state for the two-dimensional hydrogen atom, for which the averaged motion ofposition describes a Kepler ellipse. The coherent state can be expanded with respect to the eigenstates of 2D hydrogenatom, from which we evaluate the binding energy of the wave packet for this state.     

用Weyl-Winger对应求证相干态的一个重要性质

一般而言,一个量子算符只有其在某个表象中所有的矩阵元都知道了才能被确定.可是当一个量子算符的相干态平均值(对角表示)知道了,这个算符本身就确定了,这是一个值得注记的性质.本文用Weyl-Winger对应的唯一性证明这一性质.     

耦合双原子与单模压缩相干态光场的相互作用

利用全量子理论,在相互作用绘景中研究了两个耦合二能级原子与单模压缩相干态光场相互作用系统粒子布居几率的时间演化规律;分别讨论了光场的相干振幅分量模平方｜α｜２、光场的压缩因子γ、原子间的耦合系数g和原子-场的耦合系数λ对系统粒子布居几率的影响.     

Effect of Coherent State of Quarks and Mesons on Hadron Properties

The effect of coherent state of quarks and mesons on hadron properties has been investigated in a chiral quark model. A new parameter set is derived. A comparison with previous work shows that the properties of the nucleon and delta are greatly improved by increasing the degree of coherent and the sigma-meson mass.     

Generation of Four-Photon Coherent State via Degenerate Raman Interaction

A scheme is presented for generating a four-photon coherent state via the degenerate Raman interaction. The scheme does not need classical fields to manipulate the atoms. Its another advantage is that the atomic spontaneous emission can be neglected. Therefore, the coherence of the system may be better maintained. The scheme can be generalized to generate superposition of 2ⁿ coherent states and superposition of 2ⁿ two-mode coherent states. The coherent states in each mode are on a circle symmetrically.     

激发相干态在耗散量子通道中Husimi函数的演化

基于有序算符内的积分技术和量子力学相干态表象,本文研究了激发相干态在耗散量子通道中的Husimi函数的演化情况,首次推导了Husimi函数在耗散量子通道中的解析表达式,并通过绘制图形讨论了各种参数对Husimi函数的影响。     

振幅衰减模型中弱相干光场的退相干

利用热纠缠态表象求解密度矩阵主方程的方法,给出了任意时刻振幅衰减模型中弱相干场密度算符的表示式。采用数值计算方法计算了弱相干光场的压缩效应、统计性质和Wigner函数。讨论了耗散对这些量子特性的影响。研究结果表明:随衰减时间的增大,弱相干场的压缩效应、统计性质和Wigner函数的负性等非经典效应均减弱。     

Generalized Bargmann Representation of Spin Coherent State

Based on the conclusion that the generalized Bargmann representation of a two-mode Fock state is a two-variable Hermite polynomial function [Hong-Yi Fan and Jun-hua Chen, Phys. Lett. A303 (2002) 311] we derive the generalized Bargmann representation of the spin coherent state and some new relations in the generalized function space.