量子相变与量子纠缠

作为量子体系一种内在的非局域性关联,量子纠缠已经成为一个可利用的重要资源并广泛应用于许多领域.强关联体系中的量子相变,作为凝聚态理论中的一个重要现象,也一直是人们研究的热点.本文介绍了量子纠缠的定义,纠缠的判据,以及纠缠的度量.接着,通过一个具体模型对如何利用量子纠缠描述量子相变进行讨论和分析.研究发现,在强关联体系量子相变中量子纠缠扮演着非常重要的角色.     

球型量子点中的电子拉曼散射

研究了球型半导体量子点中的电子拉曼散射.讨论了初态为导带全满,价带全空时的电子跃迁过程,给出了电子拉曼散射的跃迁选择定则。通过计算GaAs和CdS材料球型量子点中电子及空穴参与拉曼散射的微分散射截面,分别比较了电子和空穴的不同影响,发现电子对拉曼散射的贡献要远大于空穴的贡献;当选取不同量子点半径时,拉曼散射微分散射截面变化也非常明显;量子点尺寸不变的条件下,改变入射光子能量,可以发现,微分散射截面随入射光子能量增大而减小。     

圆柱曲面单光子量子雷达散射截面的理论研究

为研究圆柱曲面的单光子量子雷达散射截面与经典雷达散射截面相比存在的具体优势,引入光子波函数,将引起量子干涉的距离矢量进行分解,通过圆柱曲面的曲面积分推导得到了单基地单光子下的圆柱曲面量子雷达散射截面的封闭表达式.分析了不同电尺寸的圆柱曲面长度和曲率半径的影响,对比了圆柱曲面量子雷达散射截面与经典雷达散射截面的封闭表达式.封闭表达式的分析和仿真结果都表明,圆柱曲面长度的电尺寸决定量子雷达散射截面的旁瓣数,曲率半径的电尺寸决定了量子雷达散射截面曲线的包络,量子雷达散射截面的整体强度与曲率半径的电尺寸呈线性关系.圆柱曲面的量子雷达散射截面与经典雷达散射截面相比具有旁瓣增强的优势,有利于隐身目标的探测.     

锥柱复合目标量子雷达散射截面分析

针对导弹目标量子雷达散射截面的计算问题,用锥柱复合模型模拟导弹目标几何结构,引入单光子波动方程,推导和改进量子雷达散射截面表达式.通过干涉分析镜面上原子与光子的相互作用,在检测点测量光子被目标原子散射后的强度,得到锥柱复合目标量子雷达散射截面公式.仿真结果表明:在不同入射角条件下,单光子量子雷达散射截面主瓣峰值高于经典雷达散射截面,而量子雷达散射截面旁瓣峰值低于经典雷达散射截面;随着波长减小,量子雷达散射截面逐渐降低,入射角对量子雷达散射截面无影响.表明量子雷达对小目标具有很高的探测识别能力,分辨率能够达到纳米级,为导弹目标识别提供了依据.     

量子隐形传态看作量子信道

非理想的纠缠资源和非标准的量子隐形传态操作导致非理想的量子态传输.本文从Nielsen-Caves理论出发,导出了非理想的量子隐形传态过程对应的量子信道的明显表达式.这给我们提供了对量子隐形传态的新认识,即量子隐形传态过程可等效地看作量子态依次通过三个量子信道的过程,这三个信道分别对应于发送者的测量、纠缠态和接收者的操作.特别地,我们建立了纠缠态与量子信道之间的一一对应关系,即一个纠缠态对应于这样一个量子信道,如果把描述该量子信道的Kraus算符用Pauli算符展开,则得到的参数矩阵就是该纠缠态的密度算符在Bell基下的矩阵.我们还导出了量子隐形传态保真度的明显表达式.我们的结果解析地揭示了输出态和保真度对纠缠资源和量子隐形传态操作的依赖关系.     

基于量子隐形传态的量子保密通信方案

量子保密通信包括量子密钥分发、量子安全直接通信和量子秘密共享等主要形式.在量子密钥分发和秘密共享中,传输的是随机数而不是信息,要再经过一次经典通信才能完成信息的传输.在量子信道直接传输信息的量子通信形式是量子安全直接通信.基于量子隐形传态的量子通信(简称量子隐形传态通信)是否属于量子安全直接通信尚需解释.构造了一个量子隐形传态通信方案,给出了具体的操作步骤.与一般的量子隐形传态不同,量子隐形传态通信所传输的量子态是计算基矢态,大大简化了贝尔基测量和单粒子操作.分析结果表明,量子隐形传态通信等价于包含了全用型量子密钥分发和经典通信的复合过程,不是量子安全直接通信,其传输受到中间介质和距离的影响,所以不比量子密钥分发更有优势.将该方案与量子密钥分发、量子安全直接通信和经典一次性便笺密码方案进行对比,通过几个通信参数的比较给出各个方案的特点,还特别讨论了各方案在空间量子通信方面的特点.     

量子关联

量子纠缠是量子信息处理过程中的重要资源,也是量子力学与经典力学本质区别的一个重要特征.最近随着量子信息理论的不断发展,人们发现可分态中也可以存在非经典的量子关联,量子纠缠只是量子关联的一部分.而且这种非纠缠的量子关联可能在一些量子信息处理过程中起到重要的作用.文章介绍了量子关联最近所取得的一些研究进展,特别是量子关联在各种消相干环境下的演化规律等.     

AX体系多量子弛豫时间的直接探测

本文建议了一种直接测量AX系统多量子弛豫的方法。不用作两维谱,测量过程类似于常规弛豫时间测量,实验简便、准确。由所测得的单量子和多量子弛豫时间可以导出起伏场的交叉相关系数,这提供了单量子NMR所不能获得的信息。本文还讨论了AX体系多量子弛豫机理的特殊性。 关键词：     

热库诱导的两比特量子纠缠与量子关联

对比研究了处于热库中的两量子比特的量子纠缠和量子关联随时间的演化。数值模拟的结果表明,尽管热库几乎总能诱导两量子比特的量子纠缠与量子关联,但二者的动力学演化并不完全相同。在与热库的相互作用中,两比特初始形成量子纠缠,随后纠缠逐渐消失,两比特形成纠缠以外的量子关联并得到维持。由此看出,相比于量子纠缠,量子关联对消相干的影响表现得更为稳健。     

激光场中量子散射三重微分散射截面的研究

在量子散射框架下,对真实激光场引进多光子相互作用准静态过程模型,考虑束缚-自由跃迁中电磁场的规范一致性及电子与激光场长程相互作用的极限,研究激光场对量子散射过程中三重微分散射截面的影响.多数共面非对称情况下激光场对三重微分散射截面有提升作用,此外靶原子处于激发态时binary峰出现分裂,激光场对三重微分散射截面也有放大作用.     

界面附近光剥离过程中的量子经典对应

研究了氢负离子在弹性墙附近的光剥离过程，导出了剥离截面的解析公式。此截面为光滑背景项与一正弦振荡项之和，后者与离子与弹性墙的距离有关。分析了光剥离电离的经典动力学及其量子对应。在本模型中，半经典光剥离截面与量子结果一致。     

Quantum effects on elastic collisions in a two-component plasma

Eikonal method is applied to investigate the quantum effects on elastic electron–ion collisions in a two-component plasma. An effective Kelbg potential model taking into account the classical effect as well as the quantum-mechanical effect is applied to describe the electron–ion interactions in a two-component plasma. The impact parameter method is applied to represent the path of the projectile electron in order to investigate the variation of the eikonal cross section as a function of the impact parameter, thermal de Broglie wavelength, and projectile energy. In the second-order eikonal approximation, the quantum effects significantly reduce the elastic electron–ion scattering cross section. It is also found that the second-order eikonal phase is caused by the pure quantum mechanical effects.     

Quantum limit cyclotron resonance in p-GaAs

Electron scattering by neutral acceptors has been studied through far infrared (λ=172 μm) cyclotron resonance on p-GaAs at 4.2 K. It is found that (1) The inverse relaxation time is considerably smaller in the quantum limit than that predicted by D.C. transport theory in the absence of a magnetic field. (2) The same increase linearly with neutral acceptor concentration. (3) The electron momentum transfer cross section by neutral acceptor is by more than an order of magnitude smaller than that by neutral donor even in the quantum limit.     

Quantum electrodynamics resonances in a pulsed laser field

This review contains theoretical study of resonant quantum electrodynamics processes in a pulsed laser field. The approximation is examined when the pulse width is considerably greater than the characteristic time of wave oscillations. The lepton??s interaction with the Coulomb potential of a nucleus and each other is considered in the Born approximation. It is demonstrated that the resonant differential cross section of a process in a pulsed light fields may considerably exceed the corresponding cross section in an absence of a laser field. Results obtained may be experimentally verified by the scientific facilities at the SLAC National Accelerator Laboratory and FAIR (Facility for Antiproton and Ion Research, Darmstadt, Germany) project.     

空间尘埃等离子体对量子卫星通信性能的影响

为了研究尘埃等离子体中带电尘埃的粒子半径、粒子浓度和带电荷数对量子通信性能的影响,首先根据Mie散射理论得到单个带电尘埃粒子的光散射截面;然后通过粒子浓度求出总的消光截面,得出链路衰减的数学模型,提出了带电粒子特性与量子纠缠度的关系;针对退极化信道,当单个尘埃粒子所吸附带电粒子的个数为50时,给出了尘埃粒子半径、粒子浓度与信道容量和量子误码率的定量关系.仿真结果表明,当量子信号的传输距离为10km时,尘埃粒子浓度从1×10~(10) m~(-3)增加到10×10~(10) m~(-3),信道容量从0.6726降低到0.1075;尘埃粒子半径从0.1μm增加到10μm时,量子误码率由1.334×10~(-3)增加到5.309×10~(-3).由此可见,尘埃等离子体中带电尘埃粒子的半径和浓度对量子卫星通信性能有显著的影响.因此,为确保量子通信的可靠性,应根据所探测到的等离子体环境的状况,调整卫星通信系统的各项指标参数.     

Application of Quantum Scattering Theory in Calculation of the Simplest Chemical Reactions (Dissociative Attachment,Dissociation, and Recombination)

Technical Physics - Several parameters (cross section, reaction rate, etc.) of various processes in laser, atomic, and chemical physics are calculated using quantum scattering theory for a system...     

Nondestructive Probing Scheme of Quantum State Without Quantum Correlation

We study a scheme that an auxiliary qubit is introduced for probing the information of the given bipartite quantum state, while the correlations of the probed quantum state and even the probed state itself are not disturbed after the probing, which means nondestructive probing. We find that, in order to guarantee the invariance of the correlations of the probed state, neither quantum entanglement nor quantum discord between the auxiliary qubit and the probed states can be present. This could make us reconsider the role of quantum correlation in some quantum information processing tasks.     

Quantum effects on polarization bremsstrahlung from electron-atom collisions in partially ionized dense hydrogen plasmas

The quantum effects on the polarization bremsstrahlung emission due to the low-energy electron-atom collisions are investigated in partially ionized dense hydrogen plasmas. The impact parameter analysis is employed to describe the motion of the projectile electron in order to investigate the variation of the bremsstrahlung emission spectrum as a function of the impact parameter, de Broglie wave length, Debye length, and radiation photon energy. The results show that the quantum effects strongly suppress the polarization bremsstarhlung emission. It is also found that the polarization bremsstarhlung emission cross section shows the maximum value at the position of the Bohr radius. It is interesting to note that the quantum effects are found to be more important than the screening effects in the polarization bremsstarhlung emission.     

Quantum mechanics without the position operator

The formula for the differential scattering cross section in quantum mechanics is derived without the usual assumption that the square of the -function is a position probability density for particles. It is argued that position, like time, may be basically a macroscopic parameter rather than a random variable for microparticles.This research was partly supported by a grant from the NSERC.     

The Elusive Source of Quantum Speedup

We discuss two qualities of quantum systems: various correlations existing between their subsystems and the distinguishability of different quantum states. This is then applied to analysing quantum information processing. While quantum correlations, or entanglement, are clearly of paramount importance for efficient pure state manipulations, mixed states present a much richer arena and reveal a more subtle interplay between correlations and distinguishability. The current work explores a number of issues related with identifying the important ingredients needed for quantum information processing. We discuss the Deutsch-Jozsa algorithm, the Shor algorithm, the Grover algorithm and the power of a single qubit class of algorithms. In the latter, a quantity called discord is seen to be more important than entanglement. One section is dedicated to cluster states where entanglement is crucial, but its precise role is highly counter-intuitive. Here we see that the notion of distinguishability becomes a more useful concept.