单原子脉塞和单原子激光——腔量子电动力学的实验平台

单原子脉塞和单原子激光是腔量子电动力学研究的重要实验平台。本文综述关于几类单原子脉塞和单原子激光的研究工作,包括德国Walther小组的单原子脉塞、超冷原子注入的单原子脉塞,法国Haroche小组的腔量子电动力学系统、注入原子的单原子激光、以及囚禁原子和囚禁离子的单原子激光。我们介绍相关的理论工作、实验系统、以及主要结果。     

原子质心运动对二能级原子发射谱的影响

研究了质心做谐振运动的二能级原子的发射谱. 当原子质心运动与光场无关联时，原子质心运动不影响原子发射谱的相位敏感性，随着原子质心运动平均能量的增加，原子发射谱峰间的相对距离变小，峰高的变化与原子质心运动和光场所处的状态有关. 当原子质心运动与光场有关联时，原子发射谱不依赖于光场与原子偶极矩的相对相位，在适当条件下原子发射谱峰的数目减少，峰高增大，峰宽变小. 关键词： 原子质心运动 二能级原子 原子发射谱 SU(2)相干态     

原子光学讲座第一讲几何与波动原子光学及其器件

文章首先简单介绍了冷原子操纵与控制的基本原理。然后，重点介绍了几何与波动原子光学及其器件的研究内容、潜在应用和最新进展，其中包括：原子束的反射和原子反射镜；原子束偏转（折射）、聚焦成像和原子透镜；原子衍射和原子光栅；原子干涉和原子干涉仪；原子全息学及其技术等。     

用离散变分方法计算几种原子的电子动量谱

用以密度泛函理论为基础的离散变分方法研究了氦原子、氩原子、钠原子和钾原子，分别得到了氦原子、氩原子、钠原子和钾原子动量空间的轨道电子云密度分布，并与实验值做了比较．     

对抛式冷原子陀螺仪中原子运动轨迹的控制

冷原子具有很小的速度,很窄的速度分布以及良好的相干特性,利用冷原子物质波干涉特性可实现原子干涉仪,具有萨格奈克效应的原子干涉仪即原子陀螺仪,可精密测量转动速率. 冷原子轨迹的精确控制对提高冷原子陀螺仪的测量精度有着重要的意义,文章报道了利用直接数字频率综合器,实现对双向对抛冷原子运动轨迹的精确控制. 关键词： 冷原子 原子陀螺仪 直接数字频率综合器     

集成原子光学及其原子芯片

随着原子激光冷却、囚禁与操控技术以及微米、纳米微电子制作技术的快速发展与不断完善,一个新兴的原子光学分支学科一“集成原子光学及其原子芯片”正在形成。本文重点介绍了集成原子光学及其原子芯片的集成方案、实验结果及其最新进展：包括表面微结构原子光学元器件、微磁结构集成原子光学、微光结构集成原子光学和微磁光结构集成原子光学及其原子芯片的设计方案与微制作技术及其最新实验结果。最后,简单总结了原子芯片的设计原则,讨论了芯片设计与研制中尚待解决的问题,并就集成原子光学的潜在应用及其未来发展作一简单展望。     

集成原子光学及其原子芯片

随着原子激光冷却、囚禁与操控技术以及微米、纳米微电子制作技术的快速发展与不断完善,一个新兴的原子光学分支学科—“集成原子光学及其原子芯片”正在形成。本文重点介绍了集成原子光学及其原子芯片的集成方案、实验结果及其最新进展:包括表面微结构原子光学元器件、微磁结构集成原子光学、微光结构集成原子光学和微磁光结构集成原子光学及其原子芯片的设计方案与微制作技术及其最新实验结果。最后,简单总结了原子芯片的设计原则,讨论了芯片设计与研制中尚待解决的问题,并就集成原子光学的潜在应用及其未来发展作一简单展望。     

集成原子光学:原子芯片

原子光学是当前研究得比较热的学科，由于原子激光冷却技术和纳米技术的成熟，原子光学朝着微型化和集成化的方向发展．文章主要介绍了当前集成原子光学的一个焦点——原子芯片及其最新实验进展：包括不同形式的原子导引方式，当前原子芯片的实验工作，原子芯片在玻色—爱因斯坦凝聚(BEC)研究中的应用，以及原子芯片在其他方面的应用前景．     

原子物质波的聚焦及其原子透镜

介绍了原子物质波的聚焦的基本原理，即原子透镜的工作原理，又对几种类型的原子透镜及其对原子物质波聚焦的优劣性进行了介绍，描述了原子透镜在原子光学中的应用。     

纳米一维双原子晶体颗粒的原子均方位移和均方速度

应用作者与合作者已导出的纳米一维双原子晶体颗粒的位移-位移格林函数,推导了纳米一维双原子晶体颗粒的速度-速度格林函数,并在此基础上,应用涨落-耗散定理,推导了纳米一维双原子晶体颗粒的原子均方位移公式和原子均方速度公式.数值计算表明,纳米晶体颗粒表面原子的均方位移大于内部的原子均方位移,而表面原子的均方速度小于内部原子的均方速度;当纳米颗粒尺寸减小时,表面原子的均方位移和内部原子的均方位移都减小,而表面原子的均方速度和内部原子的均方速度几乎不发生变化;温度增大时,纳米晶体颗粒中各原子的均方位移和均方速度都增大,在高温极限,各原子的均方位移和均方速度与温度成正比.     

Trees at an Interface

A lattice tree at an interface between two solvents of different quality is examined as a model of a branched polymer at an interface. Existence of the free energy is shown, and the existence of critical lines in its phase diagram is proven. In particular, there is a line of first order transitions separating a positive phase from a negative phase (the tree being predominantly on either side of the interface in these phases), and a curve of localization–delocalization transitions which separate the delocalized positive and negative phases from a phase where the tree is localized at the interface. This model is generalized to a branched copolymer which is examined in a certain averaged quenched ensemble. Existence of a thermodynamic limit is shown for this model, and it is also shown that the model is self-averaging. Lastly, a model of branched polymers interacting with one another through a membrane is considered. The existence of a limiting free energy is shown, and it is demonstrated that if the interaction is strong enough, then the two branched polymers will adsorb on one another.     

On the fluctuation enhanced conductivity of a superconductor: The correct evaluation of the Maki graph

According to Maki, a particular diagram—the Maki graph—gives a contribution to the fluctuation enhanced conductivity of a superconductor which is infinite in the case of a thin film. It is shown that this result is spurious and that it is due to a breakdown of the standard Green function impurity technique. A new method is developed which is strictly based on the Boltzmann equation. It is shown that the temperature dependent contribution of the Maki graph to the conductivity is negligibly small in a dirty metal.     

Focusing of an X-ray spherical wave by a uniaxially bent crystal: Johann scheme and logarithmic spiral

Focusing of a spherical wave in the well-known Johann scheme is considered theoretically. An analytical formula for the size of the crystal bent surface reflecting radiation in the Johann scheme is derived. The intensity distribution near the focus is found. The spherical aberration of the diffracted beam is analyzed. Back scattering is shown to minimize the aberration. Spectral characteristics of an Johann spectrometer are discussed. The focusing of a spherical wave by a crystal bent into a logarithmic spiral is considered. It is shown that the Johann scheme is a specific case of a logarithmic spiral.     

Poisson brackets and the Feynman problem

A derivation of a pair of Maxwell equations which is based on the concept of a Poisson structure on a manifold is given. The idea is geometric in character, and is extended to a generalized algebra. The special case of the dynamics for a particle in a Yang-Mills field is obtained as a consequence of the generalized case.     

The interaction between a disclination in a nematic liquid crystal and a rubbed surface

For the case of a rubbed surface with a finite anisotropic surface tension, a model is developed for the structure and energy of a surface disclination and of an edge disclination near the surface. It is found that there is an energy barrier against detaching a disclination from the surface, and also that there is a critical distance within which a disclination is attracted, and beyond which it is repelled, by the surface. These properties may provide a measurement of the anisotropy of the surface tension.     

Design of a Reflective Aspherical Surface of a Compact Beam-Shaping Device

A compact beam-shaping device with a reflective aspherical surface is proposed. The device converts a circular symmetric Gaussian beam from a laser into a uniform distribution on a target plane. The device consists of a laser, a reflective aspherical surface formed on the base plane inclined by 45° against the optical axis, and a spacer. The surface is designed for an optical device used as a transmitter of indoor wireless optical communication, which is one of the promising applications. The designed surface is obtained by approximation using polynomial. Beam shaping of a simulated surface and a uniform intensity distribution on the target plane is obtained. The intensity distribution generated by the surface is numerically simulated and evaluated if the surface is misaligned. It is clarified that the generated distribution is tolerable for the misalignment.     

Relativistic motion of a free particle in a uniform gravitational field

The problem of the motion of a free particle in a uniform gravitational field is considered. A relativistic solution based on the assumption that the motion is a consequence of the curvature of spacetime is obtained. The results are compared with various results based on the assumption that spacetime is flat in a region in which the gravitational field is uniform. In the curved spacetime approach, if a particle is projected from a point in a uniform gravitational field, the vertical distance covered by the particle in infinite coordinate time is infinite, but the horizontal distance covered and the elapsed proper time of the particle are finite. If spacetime is assumed to be flat and the gravitational motion of a particle a consequence of a relativistic force proportional to the relative mass of the particle, then the results obtained for the motion of a particle in a uniform gravitational field are close to the curved spacetime results. All other assumptions, including the assumption that the motion of a particle in a uniform gravitational field is equivalent to the motion of a particle in a uniformly accelerating frame of reference, lead to results in serious disagreement with the curved spacetime results.     

Multiple-reflection effects in hadron-nucleus scattering: (I). Cluster expansion of the optical potential

A basic assumption underlying the high-energy hadron-nucleus optical potential is that no target nucleon is struck more than once. Although this condition is satisfied at high energy, such is not the case in the vicinity of medium-energy resonances, where the amplitude for the projectile to undergo multiple reflections between two target nucleons is quite large. As a remedy for this problem, the multiple-scattering series is rearranged such that the optical potential can be expressed as a cluster expansion. The lowest order optical potential is modified by a two-body cluster term, which is a sum of all possible reflections of the projectile between a pair of target nucleons. This term is evaluated for a model potential within the formalism of Foldy and Walecka: it is substantially smaller than the contribution of a single reflection, and its overall effect is small under certain additional restrictions. If the independent-pair picture of nuclei is valid, then the three-body cluster term may be small, and the lowest order Glauber optical potential can provide a self-consistent picture of hadron-nucleus interactions, even though a term-by-term expansion of the multiple-scattering series does not provide such assurance.     

Completely mixed state is a critical point for three-qubit entanglement

Pure three-qubit states have five algebraically independent and one algebraically dependent polynomial invariants under local unitary transformations and an arbitrary entanglement measure is a function of these six invariants. It is shown that if the reduced density operator of a some qubit is a multiple of the unit operator, than the geometric entanglement measure of the pure three-qubit state is absolutely independent of the polynomial invariants and is a constant for such tripartite states. Hence a one-particle completely mixed state is a critical point for the geometric measure of entanglement.     

Bose-Einstein condensation and the glassy state

The distinction between a classical glass and a classical liquid is difficult, since both are disordered. The difference is in the fact that a glass is frozen while the liquid is not. In this Letter an equilibrium measure is suggested that distinguishes between a glass and a liquid. The choice of this measure is based on the idea that in a system which is not frozen symmetry under permutation of particles is physically relevant, because particles can be permuted by actual physical motion. This is not the case in a frozen system. In this Letter it is shown how to generalize naturally the quantum mechanical concept of Bose condensed fraction to classical systems in order to distinguish between the glass and the liquid. It is finite in the liquid and zero in the frozen state. The actual value of the condensed fraction in the liquid may serve also as a measure of the glassiness in the liquid.