未掺杂反式聚乙炔(CH)x中核自旋晶格弛豫-孤子-维扩散模型

Nechtschein等人报道并分析了反式聚乙炔中质子自旋晶格弛豫时间对拉摩频率ω和温度T的依赖关系。观察到了质子自旋晶格弛豫速率T₁^-1和ω^-1/2的正比关系。但是在高频段,T₁^-1∝ω^-1/2关系发生偏离,且温度越低,发生偏离的频率也越低。 本文用另一种方法对这些实验结果作了分析。首先,论证了孤子一维扩散模型的合理性。排除了质子弛豫速率∝ω^-1/2的另一种解释,即仅仅是核自旋向着静止的顺磁中心扩散。孤子能处在运动状态或静止状态。当温度降低时,发生两个效应,即越来越少的孤子处于运动状态,且运动孤子的扩散系数减小。只有扩散的孤子对所观察到的质子弛豫有贡献,而固定孤子的贡献可以忽略。其次,描述了运动孤子的一维随机行走模型,计算了它的相关函数和谱密度函数。质子自旋晶格弛豫速率是: 其中C是运动孤子的浓度,τ是运动孤子沿链跳跃时,渡越相邻位置的跳跃时间,ω是质子的拉摩频率。 这个公式揭示了质子弛豫速率的频率和温度依赖关系的主要特征。它和Nechtschein的测量结果拟合得很好。从拟合中可以得到各个温度下运动孤子的跳跃时间和相对浓度。     

自旋密度光栅和本征GaAs量子阱中的电子自旋双极扩散

为研究空穴对自旋极化电子扩散的影响,提出用自旋密度光栅方法来观察电子自旋扩散过程。由飞秒激光在本征GaAs多量子阱中激发产生瞬态自旋光栅和瞬态自旋密度光栅,并用于研究电子自旋扩散和电子自旋双极扩散。实验测得自旋双极扩散系数Das ＝25.4 cm 2/s,低于自旋扩散系数Ds ＝113.0 cm 2/s,表明自旋密度光栅中电子自旋扩散受到空穴的显著影响。     

未掺杂聚乙炔中质子的自旋晶格弛豫——局域化的孤子

测量了未掺杂的顺式聚乙炔(cis-polyacetylene)、反式聚乙炔(trans-polyacetylene)和部分氘代的反式聚乙炔样品的质子自旋晶格驰豫时间T₁,测量了反式聚乙炔的旋转座标系中的质子自旋晶格弛豫时间T_1ρ。结果表明,反式聚乙炔中确实存在大量被称为孤子(Soliton)的自旋中心,它们是质子弛豫的支配因素。孤子是可动的,但又是局域化的。用局域化的孤子模型,不仅说明了T_1ρ过程的多指数型衰减,也解释了它的衰减速率不随温度和自旋锁定场强度而变化的特点。     

使用超冷原子模拟自旋-轨道耦合

在量子力学系统中,粒子均具有内部的自旋角动量.它可以是本征的（例如,电子的自旋角动量或质子、中子的自旋角动量）,也可以是本征（在原子的情况下,分别来自电子以及核子的自旋角动量）与轨道角动量（在原子中,电子绕原子核转动的轨道运动）的结合.在原子核产生的静电场中,或是在固体的晶体电场中     

烟雾干扰场的时域特性试验与分析

依据少量的抽样测试数据,运用Aitkin插值技术,可了解烟雾干扰场在任一时刻的空间分布及这种分布随时间的变化。提出了平均扩散系数、即时扩散系数概念及基于烟幕矩心的风移速率、沉降速率,并给出了相应的定量计算方法。     

磁共振扩散张量成像中扩散敏感梯度磁场方向分布方案的研究进展

磁共振扩散张量成像可以定量无创研究人体内水分子在三维空间中的各向异性扩散规律,进而获取重要的病理及生理信息.为了得到水分子各向异性扩散信息,需要按照一定的方案依次施加不同方向的扩散敏感梯度磁场,测量水分子在这些方向上的扩散系数用以估算扩散张量.扩散张量成像测量结果的准确程度受梯度磁场方向分布方案的影响,本文对扩散敏感梯度磁场方向分布方案进行综述,包括完全随机方案、启发式方案、规则多面体式方案和数值优化方案等,分析这些方案的优势与局限性,并提出需进一步研究的问题.     

非均匀混合下氘氚聚变反应速率的理论研究

激光驱动惯性约束聚变中壳层材料和聚变燃料的混合是影响聚变点火燃烧性能的关键物理问题,聚变过程中混合物形态的演化及相应热核反应速率的物理建模直接影响数值模拟的置信度,具有重要的科学意义和应用价值.本文以扩散混合机制下混合形态随时间的演化规律及其对热核反应速率的影响为研究对象,基于热力学平衡与理想气体物态方程假设,通过解析分析与一维球几何扩散方程数值解的对比研究,揭示了扩散混合主导下热核反应速率随混合形态演化的物理规律.研究发现,混合量主要通过影响燃料的体积份额直接影响热核反应速率,由混合非均匀尺度和扩散系数共同决定的扩散时间直接影响热核反应速率的时间演化行为.进一步利用蒙特卡罗方法直接模拟扩散过程得到的互扩散系数,定量分析了燃料中混入低Z、高Z材料时热核反应速率随时间演化的差异,通过与美国非均匀混合效应实验典型数值模拟结果进行对比分析,验证了理论评估的可靠性.本工作对我国惯性约束聚变混合效应实验的设计和改进具有重要参考意义.     

Z切LiNbO3晶体中退火质子交换光波导特性的研究

系统地研究Ｚ切ＬｉＮｂＯ３晶体中质子交换波导和退火质子交换波导的特性,得到了质子交换过程中的扩散常数和激活能。发现了质子交换波导的折射率呈线性阶跃型的折射率分布。通过连续退火,波导的折射率分布由线性阶跃型向高斯型过渡。退火可分为两个阶段,波导深度的增加在第一阶段随退火时间成指数关系,第二阶段与退火时间的平方根成线性关系。     

多孔介质体元内随机运动的核磁共振成像研究

多孔介质体元内随机运动的核磁共振成像是一种透视流体微观无规则运动的方法.在多孔介质中,存在两种无规则运动.一种是分于扩散.它是由于分子的布朗运动引起的;另一种是弥散,它是由多孔介质中毛管网络的复杂结构造成的.多孔介质中的液体弥散和分子扩散会在成像体无内产生相位分散.这种相位分散致使回波信号发生衰减.采用适当的梯度脉冲.可以从这种信号衰减中获得视扩散系数(ADC)的分布图像.本文作者在4.7T高场超导核磁共振成像系统上.采用特制的高梯度线圈获得了扩散和机扩散系数分布的图像.在水和丙酮模型中获得了扩散系教图像,其扩散系数值与标准值相符.在人体肾结石中获得了扩散系数分布图像,在不同流速下,获得了多孔介质中的视扩散系数分布图像.并分析了视扩散系数与速度的关系.在多孔介质中定量确定扩散系数和机扩散系数及其空间分布将会极大地提高核磁共振成像技术在渗流力学研究中的应用能力.     

等温热重法测量熔融织构YBCO准单晶的化学扩散系数

用熔融织构YBCO块体研磨出来的细粉 ,筛选后可得粒度均匀的片状单晶 .单晶粒平均半径R =2 7.2 μm ,片的两个面为ab底平面 ,所以是不透氧的封闭面 ,因此可将粉视为平均半径R=2 7.2 μm的无限长圆柱体 ,以此几何模型来解二维扩散方程 .在热天平上做出恒温增重曲线 .以二维扩散方程的解来拟合增重曲线 ,得出化学扩散系数D ,和Rothman等单晶和多晶的同位素扩散系数D ab相同 .求得的热力学因子为F =10 ,和Kaupel等的结果相符 .     

Phonon-assisted spin diffusion in solids

The spin flip-flop transition rate is calculated for the case of spectral spin diffusion within a system of dipolarly coupled spins in a solid where the lattice vibrations are present. Long-wavelength acoustic phonons time-modulate the interspin distance r_ij and enhance the transition rate via the change of the 1/r³_ij term in the coupling dipolar Hamiltonian. The phonon-assisted spin diffusion rate is calculated by the golden rule in the Debye approximation of the phonon density of states. The coupling of the spins to the phonons introduces temperature dependence into the transition rate, in contrast to the spin diffusion in a rigid lattice, where the rate is temperature-independent. The direct (one-phonon absorption or emission) processes introduce a linear temperature dependence into the rate at temperatures not too close to T = 0. Two-phonon processes introduce a more complicated temperature dependence that again becomes simple analytical for temperatures higher than the Debye temperature, where the rate is proportional to T², and in the limit T → 0, where the rate varies as T⁷. Raman processes (one-phonon absorption and another phonon emission) dominate by far the phonon-assisted spin flip-flop transitions.     

Nuclear spin-lattice relaxation mechanisms in kaolinite confirmed by magic-angle spinning

Spin-lattice relaxation mechanisms in kaolinite have been reinvestigated by magic-angle spinning (MAS) of the sample. MAS is useful to distinguish between relaxation mechanisms: the direct relaxation rate caused by the dipole-dipole interaction with electron spins is not affected by spinning while the spin diffusion-assisted relaxation rate is. Spin diffusion plays a dominant role in ¹H relaxation. MAS causes only a slight change in the relaxation behavior, because the dipolar coupling between ¹H spins is strong. ²⁹Si relaxes directly through the dipole-dipole interaction with electron spins under spinning conditions higher than 2 kHz. A spin diffusion effect has been clearly observed in the ²⁹Si relaxation of relatively pure samples under static and slow-spinning conditions. ²⁷Al relaxes through three mechanisms: phonon-coupled quadrupole interaction, spin diffusion and dipole-dipole interaction with electron spins. The first mechanism is dominant, while the last is negligibly small. Spin diffusion between ²⁷Al spins is suppressed completely at a spinning rate of 2.5 kHz. We have analyzed the relaxation behavior theoretically and discussed quantitatively. Concentrations of paramagnetic impurities, electron spin-lattice relaxation times and spin diffusion rates have been estimated.     

Effect of spin flip-flop on electron-spin-echo decay due to instantaneous diffusion

The effect of electron spin flip-flop on two- and 2 + 1-pulse electron-spin-echo decay due to instantaneous diffusion was studied on hydrogen atoms in y-irradiated quartz. The observed decay was slower than the theoretical decay including no spin flip-flop, and the discrepancy increased with the concentration of the hydrogen atoms. A comparison of the theoretical and the experimental decay rates revealed that the main factor diminishing the effect of instantaneous diffusion is not the direct flip-flop between on-resonant spins, but the fluctuation of the local magnetic fields for on-resonant spins due to the flip-flop of adjacent spin pairs.     

Multiple-pulse coherence enhancement of solid state spin qubits

We describe how the spin coherence time of a localized electron spin in solids, i.e., a solid state spin qubit, can be prolonged by applying designed electron spin resonance pulse sequences. In particular, the spin echo decay due to the spectral diffusion of the electron spin resonance frequency induced by the non-Markovian temporal fluctuations of the nuclear spin flip-flop dynamics can be strongly suppressed using multiple-pulse sequences akin to the Carr-Purcell-Meiboom-Gill pulse sequence in nuclear magnetic resonance. Spin coherence time can be enhanced by factors of 4-10 in GaAs quantum-dot and Si:P quantum computer architectures using composite sequences with an even number of pulses.     

Optical nuclear spin polarization in quantum dots

Hyperfine interaction between electron spin and randomly oriented nuclear spins is a key issue of electron coherence for quantum information/computation. We propose an efficient way to establish high polarization of nuclear spins and reduce the intrinsic nuclear spin fluctuations. Here, we polarize the nuclear spins in semiconductor quantum dot(QD) by the coherent population trapping(CPT) and the electric dipole spin resonance(EDSR) induced by optical fields and ac electric fields. By tuning the optical fields, we can obtain a powerful cooling background based on CPT for nuclear spin polarization. The EDSR can enhance the spin flip–flop rate which may increase the cooling efficiency. With the help of CPT and EDSR, an enhancement of 1300 times of the electron coherence time can be obtained after a 10-ns preparation time.     

MAS NMR studies of carbon-13 spin exchange in durene

One- (1-D) and two-dimensional (2-D) carbon-13 NMR exchange measurements in powder samples of isotopically normal durene under magic angle spinning (MAS) are reported. The experiments include rotor synchronized 2-D exchange (RS2DE), 1-D magnetization transfer (MT) and time reverse ODESSA (tr-ODESSA). The latter two experiments were performed as a function of several external parameters, including proton decoupling field during mixing time, sample spinning rate and partly, of temperature. The effects of these parameters on the spin exchange induced by spin diffusion and by chemical, or physical exchange, is discussed. Spin exchange between all types of carbons in the durene molecules occurs on the time scale of seconds. From the dependence of the spin exchange rate on the external parameters it is concluded that the process is dominated by spin diffusion. On the basis of these results an upper limit of 10(-16) cm2 s(-1) can be set for the self-diffusion constant in crystalline durene.     

Multispin coherences and asymptotic similarity of time correlation functions in solids

The time evolution of multispin (n-particle) correlations in solids (the growth in the number of correlated states) observed by means of multiquantum NMR spectroscopy has been investigated. The contributions from the spins of the immediate environment of each of the spins in the lattice to the time correlation functions that describe this evolution are shown to be mutually asymptotically similar. In this case, the infinite system of coupled ordinary differential equations for the time correlation functions turns out to be equivalent to a diffusion-type partial differential equation with a purely imaginary diffusion coefficient. Its analytical solution has been obtained. It is concluded that the evolution of multispin correlations is probably attributable to multiparticle processes among the spins of a “distant” (with respect to some spin) environment similar to the processes that shape the NMR absorption line wings.     

MathNMR: spin and spatial tensor manipulations in Mathematica

Spin and spatial tensor manipulations are frequently required to describe the theory of NMR experiments. A Mathematica package is presented here, which provides some of the most common functions for these calculations. Examples are the calculation of matrix representations of operators, commutators, projections, rotations, Redfield matrix elements, matrix decomposition into basis operators, change of basis, coherence filtering, and the manipulation of Hamiltonians. The calculations can be performed for any spin system, containing spins 1/2 and quadrupolar spins alike, subject to computational limitations. The package will be available from upon acceptance of the article.     

Effects of experimental imperfections on a spin counting experiment

Spin counting NMR is an experimental technique that allows a determination of the size and time evolution of networks of dipolar coupled nuclear spins. This work reports on an average Hamiltonian treatment of two spin counting sequences and compares the efficiency of the two cycles in the presence of flip errors, RF inhomogeneity, phase transients, phase errors, and offset interactions commonly present in NMR experiments. Simulations on small quantum systems performed using the two cycles reveal the effects of pulse imperfections on the resulting multiple quantum spectra, in qualitative agreement with the average Hamiltonian calculations. Experimental results on adamantane are presented, demonstrating differences in the two sequences in the presence of pulse errors.     

Long time evolution of a spin interacting with a spin bath in arbitrary magnetic field

We introduce a completely different method to calculate the evolution of a spin interacting with a sufficient large spin bath,especially suitable for treating the central spin model in a quantum dot(QD).With only an approximation on the envelope of central spin,the symmetry can be exploited to reduce a huge Hilbert space which cannot be calculated with computers to many small ones which can be solved exactly.This method can be used to calculate spin-bath evolution for a spin bath containing many(say,1000)spins,without a perturbative limit such as strong magnetic field condition,and works for long-time regime with sufficient accuracy.As the spin-bath evolution can be calculated for a wide range of time and magnetic field,an optimal dynamic of spin flip-flop can be found,and more sophisticated approaches to achieve extremely high polarization of nuclear spins in a QD could be developed.