Approximate time-optimal control of quantum ensembles based on sampling and learning

For a general quantum ensemble with Hamiltonian fluctuations, this paper proposes a sampling-based two-stage approximate time-optimal control algorithm with momentum terms and achieves a high-fidelity state transition of all member systems to a common target state within an approximate minimum time. The fidelity and the control time are respectively optimized in the two stages. In particular, the introduction of momentum terms greatly improves the convergence rate of the algorithm. Simulation experiments on a two-level quantum ensemble verify the effectiveness of the proposed algorithm.     

Atomic electron-pair distances and subshell radii in position and momentum space

For the 53 neutral atoms from He to Xe in their ground states, the average distances < u> _{n l , n ′ l ′} in position space and < v> _{n l , n ′ l ′} in momentum space between an electron in a subshell nl and another electron in a subshell n ^′ l ^′ are studied, where n and l are the principal and azimuthal quantum numbers of an atomic subshell, respectively. Analysis of 1700 subshell pairs shows that the electron-pair distances < u> _{n l , n ′ l ′} in position space have an empirical but very accurate linear correlation with a one-electron quantity U _{n l , n ′ l ′}≡L _r +S _r ²/(3L _r ), where L _r and S _r are the larger and smaller of subshell radii < r> _{n l} and < r> _{n ′ l ′}, respectively. The correlation coefficients are never smaller than 0.999 for the 66 different combinations of two subshells appearing in the 53 atoms. The same is also true in momentum space, and the electron-pair momentum distances < > _{n l , n ′ l ′} have an accurate linear correlation with a one-electron momentum quantity V _{n l , n ′ l ′}≡L _p +S _p ²/(3L _p ), where L _p and S _p are the larger and smaller of average subshell momenta < p> _{n l} and < p> _{n ′ l ′}, respectively. Trends in the proportionality constants between < u> _{n l , n ′ l ′} and U _{n l , n ′ l ′} and between < > _{n l , n ′ l ′} and V _{n l , n ′ l ′} are discussed based on a hydrogenic model for the subshell radial functions. Received: 8 April 1998 / Accepted: 6 July 1998 / Published online: 18 September 1998     

Strong entanglement criterion involving momentum weak values

In recent years weak values have been used to explore interesting quantum features in novel ways. In particular, the real part of the weak value of the momentum operator has been widely studied, mainly in connection with Bohmian trajectories. Here we focus on the imaginary part and its role in relation with the entanglement of a bipartite system. We establish an entanglement criterion based on weak momentum correlations, that allows to discern whether the entanglement is encoded in the amplitude and/or in the phase of the wave function. Our results throw light on the physical role of the real and imaginary parts of the weak values, and stress the relevance of the latter in the multi-particle scenario.     

First-principles study of electron dynamics with explicit treatment of momentum dispersion on Si nanowires along different directions

ABSTRACT

In this research, ground-state electronic structure and optical properties along with photoinduced electron dynamics of Si nanowires oriented in various directions are reviewed. These nanowires are significant functional units of future nano-electronic devices. All observables are computed for a distribution of wave vectors at ambient temperature. Optical properties are computed under the approximation of momentum conservation. The total absorption is composed of partial contributions from fixed values of momentum. The on-the-fly non-adiabatic couplings obtained along the ab initio molecular dynamics nuclear trajectories are used as parameters for Redfield density matrix equation of motion. The main outcomes of this study are transition energies, light absorption spectra, electron and hole relaxation rates, and electron transport properties. The results of these calculations would contribute to the understanding of the mechanism of electron transfer process on the Si nanowires for optoelectronic applications.     

Two-phase gas-liquid flow regimes for smooth and ribbed rectangular ducts

In this research, adiabatic two-phase air-water flow was investigated, and results for smooth and ribbed rectangular ducts are presented here. The test fluids were air and water at approximately atmospheric conditions. Three ribs of different heights were used; the rib width and pitch were held constant. The ribs were positioned in the duct at three different locations to establish three different conditions: on the bottom wall (water side), on the top wall (air side) and on both the top and bottom walls. The flow regimes in the smooth and ribbed ducts, which were recorded with a video camera, were classified as plug, stratified, slug and wavy flow. The location of the ribs in the duct did not alter the shape of the flow regimes, but the regime boundaries were considerably changed (repositioned). The effects of using ribs of different heights on regime boundaries are represented with flow map diagrams and discussed in detail. Compared to the smooth duct, the ribbed duct had different regime boundary positions. Increasing the rib height initiated hydrodynamical instability at lower fluid velocities. These findings are relevant for the operation and design of pipes, boilers and heat exchangers.     

一种固体转动演示测量仪

本文介绍了一种能直观演示固体转动的仪器 ,并介绍了转动惯量的测量方法     

激光驱动飞片的动量耦合模型研究

 激光驱动飞片技术在动高压加载和模拟空间高速粒子运动规律等实验中有重要的应用价值。而激光与飞片的动量耦合模型研究是激光驱动飞片技术的重要内容之一,其实质是激光与物质的作用规律的宏观表征。以激光支持爆轰波（LSDW）理论为基础,建立了约束条件下激光驱动飞片的动量模型,模型考虑了激光功率密度、脉宽、聚焦焦斑、侧向稀疏波、飞片表面气体参数、飞片面积等因素的影响,比较全面地反映了LSDW对飞片的力学作用特性,理论计算结果与参考文献结果吻合较好,误差不超过25%。     

EAST中n=4共振磁扰动下等离子体的环向旋转制动

在EAST中n=4的共振磁扰动下观察到明显的等离子体旋转制动效应,其分布具有全局性,且峰值靠近等离子体中心。利用模拟得到的新经典环向粘滞(NTV)力矩来反演等离子体环向角速度的变化,结果表明在大部分径向区域与实验测量的速度变化符合得较好,量值上相差约1～2倍。     

Subshell-pair correlation coefficients of atoms in momentum space

Angular correlation coefficients τ ^{nl,n^′ l^′} [p] between linear momenta of an electron in a subshell nl and another electron in a subshell n′ l′ are studied for the 102 neutral atoms He through Lr in their ground states, where n and l are the principal and azimuthal quantum numbers, respectively. We theoretically find that electron momenta are negatively correlated or uncorrelated; τ ^{nl,n^′ l^′} [p] < 0 when |l − l′|=1, while τ ^{nl,n^′ l^′} [p]=0 when |l − l′| ≠ 1. Numerical examinations of the atoms show that except for the He–B atoms, negative correlations are largest between 1s and 2p subshells, which have the most diffuse electron distributions in momentum space.     

Energy-density relations in momentum space

The integrated Hellmann-Feynman theorem is used to derive a rigorous relation between the energy and the electron density in momentum space. Choosing the electron mass as a differential parameter, we obtain a formula corresponding to the Wilson-Frost formula in coordinate space. Analysing the mass-dependence of momentum density, we then show that the present formula is equivalent to one of the previous results deduced from the virial theorem. Use of the integral Hellmann-Feynman theorem is also discussed. Several illustrative examples are given for the calculation of energy from momentum density.