Completeness Relation of the SU(3) Charged and Hypercharged Coherent State

Using the MelJin inversion formulas we derive the weight function for constructing the completeness relation of the boson SU(3) charged and hypercharged coherent state. A suitable contour integration is selected for this derivation.     

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。     

Parabose Coherent States Based on Green's Ansatz

The coherent states of parabose oscillator of order p based on the well-known Green's ansatz have been constructed. Furthermore, it is shown that the completeness relation for these coherent states may be expressed in the form of 2×2 matrix.     

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.     

利用光子回声技术对光的相干态进行存储的研究

具备有效存储和读取光的相干态的能力是实现连续变量量子信息存储的关键。本文研究了利用混合光子回声技术对光场的相干态进行存储和读取。光量子态被记录在原子系综的基态的两个相干能级中从而实现长时间的量子态存储。考虑到由于原子退相干的噪声效应,我们发现在目前可实现的技术条件下存储保真度仍然高于保真度阈值2/3。我们的研究为实现高效准确的基于量子回声技术的光量子态存储提供了一些切实可行的实践指导。     

Controlling Quantum State Transfer in Spin Chain with Confined Field

As a demonstration of the spectrum-parity matching condition (SPMC) for quantum state transfer, we investigate the propagation of single-magnon state in the Heisenberg chain in the confined external tangent magnetic field analytically and numerically. It shows that the initial Gaussian wave packet can be retrieved at the counterpart location near-perfectly over a longer distance if the dispersion relation of the system meets the SPMC approximately.     

Controlling Quantum State Transfer in Spin Chain with Confined Field

As a demonstration of the spectrum-parity matching condition （SPMC） for quantum state transfer, we investigate the propagation of single-magnon state in the Heisenberg chain in the confined external tangent magnetic field analytically and numerically. It shows that the initial Gaussian wave packet can be retrieved at the counterpart location near-perfectly over a longer distance if the dispersion relation of the system meets the SPMC approximately.     

移动势阱下一维自旋链上量子态的传输

本文从无序能够抑制量子态的传输作为启发,验证了外加势垒的低穿透性,提出了利用外加移动势阱将量子态限制在势阱底部进行量子态传输的方案,并利用有限方势阱,余弦曲线势阱,V型势阱和抛物线曲线势阱进行了讨论和比较。可以将自旋链看做是与一定常衰减系数γ相关的衰减通道,并讨论了衰减系数和磁场强度的关系。在一定移动势阱条件下,可以得到很低的衰减系数,量子态能够进行较远距离的传输,并且在无序存在的情况下具有很强的稳定性。     

自旋电子学和相干态

自旋电子学是近年来发展起来的一个新研究领域,它研究固体,特别是半导体中的电子自旋相干态,实验发现,自旋相干态能够保持足够长的时间（几百ps量级）,因此有可能用来制造一个固态的量子计算机,但是制造实际的自旋电子器件,首先需要解决的是将自旋极化电子（或穴穴）注入半导体中的方法和如何检测它们。     

A Scheme of Controlled Quantum State Swapping

A scheme for controlled quantum state swapping is presented using maximally entangled five-qubit state,i.e.,Alice wants to transmit an entangled state of particle a to Bob and at the same time Bob wants to transmit an entangled state of particle b to Alice via the control of the supervisor Charlie.The operations used in this swapping process including C-not operation and a series of single-qubit measurements performed by Alice,Bob,and Charlie.     

A Scheme of Controlled Quantum State Swapping

A scheme for controlled quantum state swapping is presented using maximally entangled five-qubit state, i.e., Alice wants to transmit an entangled state of particle a to Bob and at the same time Bob wants to transmit an entangled state of particle b to Alice via the control of the supervisor Charlie. The operations used in this swapping process including C-not operation and a series of single-qubit measurements performed by Alice, Bob, and Charlie.     

New Tripartite Nonlinear Entangled State Representation in Quantum Mechanics

Based on the technique of integral within an ordered product of nonlinear bosonic operators, we construct a new kind of tripartite nonlinear entangled state ｜α,γ）λ in 3-mode Fock space, which can make up a complete set. We also simply discuss its properties and application.     

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。     

Quantum Entropy of Black Hole with Internal Global Monopole

Using the generalized uncertainty relation, the new equation of state density is obtained, and then the entropy of black hole with an internal global monopole is discussed. The divergence that appears in black hole entropy calculation through original brick-wall model is overcome. The result of the direct proportion between black hole entropy and its event horizon area is drawn and given. The result shows that the black hole entropy must be the entropy of quantum state near the event horizon.     

New Tripartite Nonlinear Entangled State Representation in Quantum Mechanics

Based on the technique of integral within an ordered product of nonlinear bosonic operators, we construct a new kind of tripartite nonlinear entangled state |α,γ〉_λ in 3-mode Fock space, which can make up a complete set. We also simply discuss its properties and application.     

New Formulation of Weyl Quantization Scheme in Coherent State Representation

By virtue of the technique of integration within an ordered product of operators we present a new formulation of the Weyl quantization scheme in the coherent state representation, which not only brings convenience for calculating the Weyl correspondence of normally ordered operators, but also directly leads us to find both the coherent state representation and the Weyl ordering representation of the Wigner operator.     

压缩相干态光场与Λ型三能级原子相互作用的纠缠特性

利用量子熵理论,研究了压缩相干态光场与Λ型三能级原子的量子纠缠随时间的演化特性.结果表明：光场与原子纠缠度依赖于初态原子能级叠加系数、光场压缩参量、相干态振幅参量及失谐量与耦合系数之比.当光场压缩参量增大时,光场与原子的最大纠缠度增大;若场失谐量与耦合系数之比增大,光场与原子纠缠则呈现周期性演化,系统呈现接近退纠缠;若场失谐量与耦合系数之比增大,光场与原子纠缠呈现周期性,场失谐量与耦合系数的比值足够大时,在一定时刻系统可处于稳定的最大纠缠态,且系统演化呈现周期性.     

Generation of squeezed atomic states in cavity QED

A squeezed atomic state is that state of a system of two-level atoms for which the intrinsic quantum noise in a process of measurement is less than the minimum noise obtained by using a spin coherent state. It is shown that such a state is generated in certain time intervals when a non-squeezed atomic state evolves on interaction with a single mode coherent field inside a lossless cavity. The atoms are assumed to undergo one-photon or two-photon transitions between the given two levels. The maximum atomic squeezing is found as a function of the number of atoms and the field strength. The effect of the field-dependent Stark shift is investigated in the case of the atoms undergoing two-photon transitions.     

Coherence and squeezing in Z3‐graded spin coherent states

A new kind of spin coherent state called a Z₃‐graded spin coherent state is constructed by using the complex solution of the equation q³ = 1. We explicitly find three kinds of Z₃‐graded spin coherent states. The associated coherent property and spin squeezing are also examined.