H-在金属面附近光剥离的波包动力学研究

利用波包演化和自关联函数方法对H^-在金属面附近光剥离的波包动力学进行了研究.结果表明,金属面附近光剥离电子的波包演化和回归结构与H^-到金属面的距离、激光脉冲的脉冲宽度和初始动量都有一定的关系.因此,可以通过改变离子表面距离和激光脉冲的参数对光剥离电子的动力学性质进行调控研究.除此之外,光剥离电子的镜像态寿命对波包的演化和自关联函数也会产生一定的影响:考虑镜像态寿命的影响时,随着时间的演化,波包概率密度的振幅逐渐减小,波包整体上有明显的衰减,寿命对波包演化过程中的干涉有削弱的作用;通过对电子波包的自关联函数研究,发现无限长寿命的电子波包有很好的量子回归现象,而当考虑寿命因素后光剥离电子波包随着时间的演化会发生周期性的坍塌和扩散,经过一段时间后,该回归现象消失.本文的理论研究可以为表面附近电子波包动力学的实验研究提供一定的参考价值. 关键词： 波包 演化和回归 自关联函数 金属面     

Li2分子含时波包动力学的理论研究

利用含时量子波包方法计算得到了Li2分子的光电子能谱,并运用波包动力学理论对含有不同参量的光电子能谱现象给出了合理的解释.通过分析文中的直观图像,研究了波包的动力学过程.结果表明,泵浦-探测脉冲的延迟时间对光电子能谱的形状有重要的影响;在较短延迟时间下,能谱独特的四峰现象是由光诱导势的产生引起的.     

量子电动力学—粒子模拟极端等离子体动力学研究

新一代拍瓦激光装置有望将激光强度提升至10²³~10²⁴ W·cm^-2,在此极端强场条件下非线性量子电动力学效应对等离子体动力学过程产生重要影响.相对论电子在强电磁场作用下会同步辐射大量伽马光子,当后者穿过超强电磁场时会级联产生正负电子对.与此同时,这些量子电动力学效应也会反作用于激光等离子体相互作用过程,如辐射阻尼严重影响电子运动过程.为了研究这样极端的等离子体动力学,我们介绍最近几年发展的量子电动力学数值模拟模块,并将其耦合到传统的粒子模拟程序中,即量子电动力学-粒子模拟程序.由于大量新辐射的光子和产生的正负电子对会造成模拟粒子数目的不断增加,我们发展了粒子融合技术来减小模拟规模.利用此量子电动力学-粒子模拟程序,我们对极端强场激光物质相互作用以及极端天体物理现象开展了数值模拟研究.     

量子电动力学—粒子模拟极端等离子体动力学研究（英文）

新一代拍瓦激光装置有望将激光强度提升至10~(23)~10~(24)W·cm~(-2),在此极端强场条件下非线性量子电动力学效应对等离子体动力学过程产生重要影响.相对论电子在强电磁场作用下会同步辐射大量伽马光子,当后者穿过超强电磁场时会级联产生正负电子对.与此同时,这些量子电动力学效应也会反作用于激光等离子体相互作用过程,如辐射阻尼严重影响电子运动过程.为了研究这样极端的等离子体动力学,我们介绍最近几年发展的量子电动力学数值模拟模块,并将其耦合到传统的粒子模拟程序中,即量子电动力学-粒子模拟程序.由于大量新辐射的光子和产生的正负电子对会造成模拟粒子数目的不断增加,我们发展了粒子融合技术来减小模拟规模.利用此量子电动力学-粒子模拟程序,我们对极端强场激光物质相互作用以及极端天体物理现象开展了数值模拟研究.     

NaI分子的非绝热效应

利用含时波包法研究了NaI分子在飞秒脉冲激光作用下的动力学演化情况.由于受非绝热效应的影响,波包运动到势能面的交叉区域时发生分裂.研究表明:非绝热效应引起的波包分裂是分子解离的根源,而且随着演化时间的增加非绝热效应变得越来越明显.同时,分别采用量子力学和经典力学理论探讨了NaI分子在非绝热过程中的演化规律以及解离概率随脉冲波长的变化关系. 关键词： 非绝热效应 NaI分子 飞秒脉冲 含时波包     

电子与D2分子的相关量子动力学的理论研究

文章利用含时波包方法，通过求解三维电子与核运动相关的薛定谔方程得到了D^＋离子的动能分布，同时电子被电离后多次返回与D2^＋离子发生碰撞的儿率也得到了计算，并发现D^＋离子主要来源于电子与D2^＋离子在各个波长第一个光周期内的第一次碰撞，我们的计算结果不但与实验符合较好，而且给出了在阿秒时间分辨率下追踪电子与核相关运动的量子动力学方法。     

D_2~+强场解离的电子局域化随激光波长的非线性变化

研究了周期量级激光脉冲的波长变化对氘分子离子D_2~+强场解离过程中电子局域化的影响.通过求解波恩,奥本海默近似下关于核波包演化的双能级含时薛定谔方程,发现电子局域化的不对称性对激光波长有反常的依赖关系.电子局域程度随着波长的增加呈现增强的趋势,但在某些波长范围内电子局域化出现了显著的衰减.导致电子局域化程度被削弱的直接原因是在某些波长下不同振动态的电子局域化对脉冲载波包络相位的响应出现了反相抵消.分析表明,当波长发生变化时,决定电子局域化的核运动和电子运动在外场作用下出现不一致的运动响应,最终导致了电子局域化的非线性变化.     

量子相空间中对称受驱双势阱系统的量子隧穿动力过程

本文以纠缠轨线分子动力学方法研究对称受驱双势阱系统的量子隧穿动力学过程.驱动力的幅度和频率改变将对量子隧穿动力学过程产生巨大的影响,这为人们自主控制这一重要的过程提供理论基础.当体系的经典动力学呈现混沌状态时,它的量子动力学过程将发生显著的变化.在强驱动力作用下,双势阱系统的量子共振频率隧穿和非共振频率隧穿因为混沌行为的出现明显增强.通过对比相空间中具有相同初始态的纠缠轨线和经典轨线演化,我们给出量子隧穿过程清晰的物理图像.最后,我们讨论量子隧穿动力学过程中体系不确定度的演化和反映波包动力学过程的自关联函数演化.     

利用强飞秒激光脉冲串传递相干波包

用一维两态波包动力学模型从理论上研究了碘分子在两个激光脉冲串作用下有泵浦－拉下过程。计算中碘分子的基态和激发态势能面采用莫尔斯势能面,含时薛定谔方程通过分裂算符快速富里叶变换方法求解,基电子态的振动本征函数采采不连续变量方法计算,初步波包选择为电子基态的振动基本征函数,两个势能面之间的耦合采用偶极近似,激光脉冲的形状选择为高斯脉冲。利用上述的含时波包法实时地模拟了碘分子通过中间Ｂ态向基电子Ｘ态的高     

三态K2分子飞秒含时光电子能谱的理论研究

利用三态模型和含时波包法, 研究了K₂分子在强飞秒抽运-探测激光场中延时、脉宽以及抽运波长对光电子能谱和波包动力学过程的影响. 研究结果表明, 激光场强较弱或者脉宽较短都可能不发生Autler-Townes分裂, 光电子能谱呈现出单峰结构; 延时和抽运波长的改变影响能峰结构、位置和相对峰高; 对于不同的抽运波长, 波包的振动周期是相同的, 波包振荡幅度随脉宽增大而减小; 光电子能谱反映了波包动力学信息. 研究结果可以为实验上实现分子的光控制以及量子调控过程提供一定的参考, 并为进一步研究K₂分子的动力学性质提供有用的信息.     

Exactly solvable time-dependent models in quantum mechanics and their applications

Methods for obtaining exact and approximate solutions of the evolution of quantum-mechanical problems are discussed. The cyclic evolution of quantum systems described by time-periodic Hamiltonians is analyzed. A class of time-periodic Hamiltonians is constructed in the close analytical form. The corresponding cyclic solutions are calculated. Time-dependent Hamiltonians are generated whose expectation values calculated with cyclic solutions are time independent. It is shown that the expectation values of the spin projection calculated with the same cyclic solutions, as well as the probability density of finding a particle at a given space-time point, are also time independent. Therefore, the approach can be used to simulate quantum dynamic potential wells with the particle localization effect. Nonadiabatic geometric phases are expressed in terms of the cyclic solutions. Exactly solvable time-dependent problems are used to construct a universal set of gates for quantum computers. A method for obtaining entanglement operators is discussed.     

Quantum dynamics at finite temperature: Time-dependent quantum Monte Carlo study

In this work we investigate the ground state and the dissipative quantum dynamics of interacting charged particles in an external potential at finite temperature. The recently devised time-dependent quantum Monte Carlo (TDQMC) method allows a self-consistent treatment of the system of particles together with bath oscillators first for imaginary-time propagation of Schrödinger type of equations where both the system and the bath converge to their finite temperature ground state, and next for real time calculation where the dissipative dynamics is demonstrated. In that context the application of TDQMC appears as promising alternative to the path-integral related techniques where the real time propagation can be a challenge.     

Coherent Dynamics of Direct-Current-Driven Quantum-Dot-Array with Two Time-Dependent Embedded Impurities

The coherent dynamics of dc-driven quantum-dot array with two embedded time-dependent impurities is investigated, the exact crossings and avoided crossings in the quasienergies are associated with the evolution dynamics of the electron by the introduction of the envelope lines of the site＇s maximum returning probability. Through a perturbative scheme, the time-dependent Hamiltonian is replaced by an equivalent static one, whose structure reveals the new quantum tunnelling mechanism in the time-periodic driving system and sheds light on the alternative interpretation of dynamic localization and delocalization.     

Electron spin precession in semiconductor quantum wires with Rashba spin-orbit coupling

The influence of the Rashba spin-orbit coupling on the electron spin dynamics is investigated for a ballistic semiconductor quantum wire with a finite width. We monitor the spin evolution using the time-dependent Schrödinger equation. The pure spin precession characteristic of the 1D limit is lost in a 2D wire with a finite lateral width. In general, the time evolution in the latter case is characterized by several frequencies and a nonrigid spin motion.Received: 16 April 2003, Published online: 11 August 2003PACS: 73.21.Hb Quantum wires - 73.22.Dj Single particle states     

Interference in electron-positron creation

We explore the mutual coherence properties of electrons that are created by a subcritical time-dependent force field. We compare the spatial evolution of the quantum field theoretical density with that of a relativistic classical mechanical ensemble. We find that portions of the electron cloud that were created sufficiently far from each other are not able to show interference patterns as they pass each other. The corresponding classical phase-space density reveals interesting spiral-shaped gaps, which have their manifestation in the corresponding quantum field theoretical data.     

Time-dependent formulation of the linear unitary transformation and the time evolution of general time-dependent quadratic Hamiltonian systems

A time-dependent closed-form formulation of the linear unitary transformation for harmonic-oscillator annihilation and creation operators is presented in the Schrödinger picture using the Lie algebraic approach. The time evolution of the quantum mechanical system described by a general time-dependent quadratic Hamiltonian is investigated by combining this formulation with the time evolution equation of the system. The analytic expressions of the evolution operator and propagator are found. The motion of a charged particle with variable mass in the time-dependent electric field is considered as an illustrative example of the formalism. The exact time evolution wave function starting from a Gaussian wave packet and the operator expectation values with respect to the complicated evolution wave function are obtained readily.     

基于原子系综集体激发的量子存贮

近几年来,人们从理论和实验两个方面探讨了利用自由原子系综作为量子记忆体的可能性. 基于固定于格点上Λ型“原子”系综的准自旋波激发的研究, 提出了实现光子信息量子存贮的新方案. 这个方案的目标是为了克服自由原子系综量子存贮方案中存在的量子态漏损诱导退相干的致命问题. 研究过程中发现了系综型量子记忆体中隐藏动力学的对称性和其绝热暗态演化的选择定则. 为了确切地表述这个工作的意义,还扼要地介绍这个方案建立的前期关于原子系综对称集体激发的系列工作. In this article we reviews a new protocol of quantum memory based on the quasi pin wave excitation of the Λ systems fixed the sites of lattice. This protocol tries to avoid the disadvantage of the quantum memory scheme based on free atom ensemble, the quantum decoherence induced by the quantum leakage of collective state. Especially,we discover a universal dynamic symmetry hidden in various ensemble based quantum storage scheme. To understand the significance of this work exactly, we also give a brief introduction to our systematical studies on collective symmetric excitons in quantum ensemble,which is the necessary to propose the present scheme for quantum memory.     

Quantum Mechanical Nature in Liquid NMR Quantum Computing

The quantum nature of bulk ensemble NMR quantum computing the center of recent heated debate,is addressed. Concepts of the mixed state and entanglement are examined, and the data in a two-qubit liquid NMRquantum computation are analyzed. The main points in this paper are: i) Density matrix describes the “state“ of anaverage particle in an ensemble. It does not describe the state of an individual particle in an ensemble; ii) Entanglementis a property of the wave function of a microscopic particle (such as a molecule in a liquid NMR sample), and separabilityof the density matrix cannot be used to measure the entanglement of mixed ensemble; iii) The state evolution in bulk-ensemble NMRquantum computation is quantum-mechanical; iv) The coefficient before the effective pure state densitymatrix, e, is a measure of the simultaneity of the molecules in an ensemble. It reflects the intensity of the NMR signaland has no significance in quantifying the entanglement in the bulk ensemble NMR system. The decomposition of thedensity matrix into product states is only an indication that the ensemble can be prepared by an ensemble with theparticles unentangled. We conclude that effective-pure-state NMR quantum computation is genuine, not just classicalsimulations.     

Detecting entanglement using a double-quantum-dot turnstile

We propose a scheme based on using the singlet ground state of an electron spin pair in a double-quantum-dot nanostructure as a suitable setup for detecting entanglement between electron spins via the measurement of an optimal entanglement witness. Using time-dependent gate voltages and magnetic fields the entangled spins are separated and coherently rotated in the quantum dots and subsequently detected at spin-polarized quantum point contacts. We analyze the coherent time evolution of the entangled pair and show that by counting coincidences in the four exits an entanglement test can be done. This setup is close to present-day experimental possibilities and can be used to produce pairs of entangled electrons "on demand."     

Electron density changes and high harmonics generation in H2 molecule under intense laser fields

Under interaction with a high-intensity laser field, the real-time femtosecond dynamics of the electron density in the H₂ molecule has been studied quantum mechanically. For this purpose, a time-dependent generalized nonlinear Schr?dinger equation of motion, developed earlier in our laboratory by combining density functional theory and quantum fluid dynamics in real space, is solved numerically at the equilibrium internuclear distance of the molecule. By employing various time-dependent calculated properties as probes, information and insight are obtained about the phenomena of excitation, ionization, bond-softening, dipole formation and high-harmonics generation. The present approach goes beyond the linear response formalism.