Detlef Duerr, Sheldon Goldstein, Stefan Teufel, Nino Zanghi
We sketch a derivation of abstract scattering theory from the microscopic first principles defined by Bohmian mechanics. We emphasize the importance of the flux-across-surfaces theorem for the derivation, and of randomness in the impact parameter of the initial wave function---even for an, inevitably inadequate, orthodox derivation.
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We prove that the empirical distribution of crossings of a "detector'' surface by scattered particles converges in appropriate limits to the scattering cross section computed by stationary scattering theory. Our result, which is based on Bohmian mechanics and the flux-across-surfaces theorem, is the first derivation of the cross section starting from first microscopic principles.
Unveiling Topological Fusion in Quantum Hall Systems from Microscopic Principles
本文提出一种组合框架，通过微观数据直接推导量子反磁流体中任意子准粒子的融合规则，统一了阿贝尔和非阿贝尔激发的融合规则推导方法。
Based on the developed quantum microscopic theory, the interaction of weak electromagnetic radiation with dense ultracold atomic clouds is described in detail. The differential and total cooperative scattering cross sections are calculated for monochromatic radiation as particular examples of application of the general theory. The angular, spectral, and polarization properties of scattered light are determined. The dependence of these quantities on the sample size and concentration of atoms is studied and the influence of collective effects is analyzed.
The coupling of atomic arrays and one-dimensional subwavelength waveguides gives rise to in- teresting photon transport properties, such as recent experimental demonstrations of large Bragg reflection and paves the way for a variety of potential applications in the field of quantum non-linear optics. Here, we present a theoretical analysis for the process of single-photon scattering in this configuration using a full microscopic approach. Based on this formalism, we analyze the spectral dependencies for different scattering channels from either ordered or disordered arrays. The de- veloped app…
The scanning-tunneling-microscope-induced luminescence emerges recently as an incisive tool to measure the molecular properties down to the single-molecule level. The rapid experimental progress is far ahead of the theoretical effort to understand the observed phenomena. Such incompetence leads to a significant difficulty in quantitatively assigning the observed feature of the fluorescence spectrum to the structure and dynamics of a single molecule. This letter is devoted to reveal the microscopic origin of the molecular excitation via inelastic scattering of the tunneling electrons in scannin…
Emergence of an Epsilon-Near-Zero Medium from Microscopic Atomic Principles
通过微观原子原理，研究发现离散原子晶格中的集体光散射可产生近零折射率，为宏观电磁学的起源提供了新见解。
Stable minimum principles for scattering states
本文提出了一种稳定最小原理，用于描述量子散射态，这些原理能够为非相对论S矩阵的数值计算提供严格的界限，并适用于具有动量依赖性的势能、长程相互作用以及束缚态的弹性或非弹性散射。
Quantum coherence and the principle of microscopic reversibility
提出微观可逆性原理的量子推广，揭示相干性在量子跃迁及其时间反演过程对称关系中的作用，并通过理论分析与光学实验证明其影响在低温下更显著且最大偏离不发生在最大相干态。
We develop a diagrammatic scattering theory for interacting bosons in a three-dimensional, weakly disordered potential. Based on a microscopic N-body scattering theory, we identify the relevant diagrams including elastic and inelastic collision processes that are sufficient to describe diffusive quantum transport. By taking advantage of the statistical properties of the weak disorder potential, we demonstrate how the N-body dynamics can be reduced to a nonlinear integral equation of Boltzmann type for the single-particle diffusive flux. Our theory reduces to the Gross-Pitaevskii mean field des…
We measure the coherent scattering of low-intensity, near-resonant light by a cloud of laser-cooled two-level rubidium atoms with a size comparable to the wavelength of light. We isolate a two-level atomic structure by applying a 300G magnetic field. We measure both the temporal and the steady-state coherent optical response of the cloud for various detunings of the laser and for atom numbers ranging from 5 to 100. We compare our results to a microscopic coupled-dipole model and to a multi-mode, paraxial Maxwell-Bloch model. In the low-intensity regime, both models are in excellent agreement, …
Uncertainty Principle and Angular Momentum Generation in Microscopic Fission Models
本文通过微观TDDFT框架研究裂变碎片自旋分布机制，发现其主要源于量子不确定性，与四极变形和八极变形有关。
The principle of microscopic reversibility lies at the core of fluctuation theorems, which have extended our understanding of the second law of thermodynamics to the statistical level. In the quantum regime, however, this elementary principle should be amended as the system energy cannot be sharply determined at a given quantum phase space point. In this Letter, we propose and experimentally test a quantum generalization of the microscopic reversibility when a quantum system interacts with a heat bath through energy-preserving unitary dynamics. Quantum effects can be identified by noting that …
Microscopic Legendre Transform, Canonical Ensemble and Jaynes' Maximum Entropy Principle
本文提出自由能与香农熵之间的微观勒让德变换，以微观态概率和缩放能量为共轭变量，利用香农熵的精确微分性质推导正则系综核心关系，并与Jaynes最大熵原理比较，为信息熵与热力学熵的联系提供新视角。
Scattering length and effective range of microscopic two-body potentials
本文介绍了低能两体散射中散射长度与有效力程的概念，提出了一种计算球对称两体势相关物理量的数值方法，并通过多种典型势模型进行演示，旨在为学生提供教学指导与计算工具。
Three types of Landauer's erasure principle: a microscopic view
本文基于经典微观定律的时间可逆性，将Landauer擦除原理分为强、中、弱三种类型，指出弱和中间类型在少原子器件中更具合理性。
Zero-point energy of a trapped ultracold Fermi gas at unitarity: squeezing the Heisenberg uncertainty principle and suppressing the Pauli principle to produce a superfluid state
研究通过微观动力学分析超流态的零点能，揭示海森堡和泡利原理在确定最低量子态特性中的作用。
We present an {\it ab initio}-based theoretical framework which elucidates the origin of the spin-orbit torque (SOT) in Normal-Metal(NM)/Ferromagnet(FM) heterostructures. The SOT is decomposed into two contributions, namely, {\it spin-Hall} and the {\it spin-orbital} components. We find that {\it (i)} the Field-Like (FL) SOT is dominated by the spin-orbital component and {\it (ii)} both components contribute to the damping-like torque with comparable magnitude in the limit of thick Pt film. The contribution of the spin-orbital component to the DL-SOT is present only for NMs with strong SOC cou…
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