Optical Digital Logic Operations by Self-pumped Phase Conjugation in Photorefractive Crystal

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Consistent Quantification of Complex Dynamics via a Novel Statistical Complexity Measure

Natural systems often show complex dynamics. The quantification of such complex dynamics is an important step in, e.g., characterization and classification of different systems or to investigate the effect of an external perturbation on the dynamics. Promising routes were followed in the past using concepts based on (Shannon’s) entropy. Here, we propose a new, conceptually sound measure that can be pragmatically computed, in contrast to pure theoretical concepts based on, e.g., Kolmogorov complexity. We illustrate the applicability using a toy example with a control parameter and go on to the molecular evolution of the HIV1 protease for which drug treatment can be regarded as an external perturbation that changes the complexity of its molecular evolutionary dynamics. In fact, our method identifies exactly those residues which are known to bind the drug molecules by their noticeable signal. We furthermore apply our method in a completely different domain, namely foreign exchange rates, and find convincing results as well.     

Uniqueness of the SRB Measure for Piecewise Expanding Weakly Coupled Map Lattices in Any Dimension

We prove the existence of a unique SRB measure for a wide range of multidimensional weakly coupled map lattices. These include piecewise expanding maps with diffusive coupling. The essential part of this research was done during an ESF explorative workshop at the Max-Planck-Institute for Mathematics, Bonn. We thank both institutions for their support.     

Regular Spacings of Complex Eigenvalues in the One-Dimensional Non-Hermitian Anderson Model

We prove that in dimension one the non-real eigenvalues of the non-Hermitian Anderson (NHA) model with a selfaveraging potential are regularly spaced. The class of selfaveraging potentials which we introduce in this paper is very wide and in particular includes stationary potentials (with probability one) as well as all quasi-periodic potentials. It should be emphasized that our approach here is much simpler than the one we used before. It allows us a) to investigate the above mentioned spacings, b) to establish certain properties of the integrated density of states of the Hermitian Anderson models with selfaveraging potentials, and c) to obtain (as a by-product) much simpler proofs of our previous results concerned with non-real eigenvalues of the NHA model.     

大尺寸复杂精冲零件智能测量系统的研究

对于传统精冲零件检测工艺普遍存在的人工抽检数量少、大尺寸检测困难、手工误差、复杂专用检具成本高且实时性差等所导致的综合效率低的问题,此文通过应用机器视觉、激光测距、精密数控、数据分析等技术开发了大尺寸复杂精冲零件智能测量系统,用于解决传统所检测面临的以上问题。此系统通过伺服运动控制一套由高分辨率工业相机、激光位置传感器和大理石载物台构成的三坐标检测平台,实现对大尺寸复杂精冲零件进行X-Y平面的尺寸精密测量和Z方向的高度或粗糙度精密测量。通过解析DXF图纸文件并应用改进的贪心算法来获取并优化检测路径,结合精密运动反馈拼接局部采样图像以提高机器视觉的检测精度。初步运行结果表明,系统测量600*600*8mm范围内复杂精冲件精度可达到±0.010mm。     

Ultracold Bosons on a Regular Spherical Mesh

Here, the zero-temperature phase behavior of bosonic particles living on the nodes of a regular spherical mesh (“Platonic mesh”) and interacting through an extended Bose-Hubbard Hamiltonian has been studied. Only the hard-core version of the model for two instances of Platonic mesh is considered here. Using the mean-field decoupling approximation, it is shown that the system may exist in various ground states, which can be regarded as analogs of gas, solid, supersolid, and superfluid. For one mesh, by comparing the theoretical results with the outcome of numerical diagonalization, I manage to uncover the signatures of diagonal and off-diagonal spatial orders in a finite quantum system.     

Random Permutations of a Regular Lattice

Spatial random permutations were originally studied due to their connections to Bose–Einstein condensation, but they possess many interesting properties of their own. For random permutations of a regular lattice with periodic boundary conditions, we prove existence of the infinite volume limit under fairly weak assumptions. When the dimension of the lattice is two, we give numerical evidence of a Kosterlitz–Thouless transition, and of long cycles having an almost sure fractal dimension in the scaling limit. Finally we comment on possible connections to Schramm–Löwner curves.     

Why the Disjunction in Quantum Logic is Not Classical

In this paper, the quantum logical or is analyzed from a physical perspective. We show that it is the existence of EPR-like correlation states for the quantum mechanical entity under consideration that make it nonequivalent to the classical situation. Specifically, the presence of potentiality in these correlation states gives rise to the quantum deviation from the classical logical or. We show how this arises not only in the microworld, but also in macroscopic situations where EPR-like correlation states are present. We investigate how application of this analysis to concepts could alleviate some well known problems in cognitive science.     

不需估读的螺旋测微器

螺旋测微器是借助螺旋的转动，将螺旋的角位移转变为直线位移进行长度测量的一种精密仪器，是高中乃至大学物理实验的基本仪器之一，与游标卡尺一样，分两步进行读数；但比卡尺读数复杂，学生不易掌握，经常发生读数错误．一是固定套管上的整圈数容易数错，导致测量数据和真实数据相差0．5mm；二是从活动套管上读出不到一整圈的小数时，需要加1位估计数字，许多同学容易疏忽，忘记最后1位估计数字，使得测量数据少1位有效数字而导致读数错误．其中第二种错误发生频率较高．     

用单池布里渊增强四波混频改善SBS系统位相共轭度

本文报道用布里渊增强四波混频改善受激布里渊系统位相共轭度的实验研究，与一般配置ＳＢＳ相比，系统位相共轭度从０．５８提高到０．７８。     

利用单模光纤中SBS效应进行被动调Q的掺铒光纤激光器研究

分析了利用光纤中的受激布里渊散射(SBS)相位共轭效应进行激光腔内调Q,产生ns量级脉冲激光的原理,并对利用该效应产生的激光脉冲波形和脉冲形成过程进行了数值模拟,得到的脉冲波形与SBS相位共轭反射率随时间变化曲线基本一致,表明利用光纤中的SBS相位共轭作用调Q具有可行性。据此,对采用单模光纤(SMF)作为SBS池的掺Er3＋调Q光纤激光器进行实验研究,当单模光纤长度为1.5 m时,在45 mW的抽运光功率下得到脉宽约2.6 ns,脉冲周期58.23 ns,平均功率7.35 mW的激光脉冲。进一步的研究表明：激光器中相位共轭镜的形成与SBS介质长度有关,SBS介质过长,斯托克斯线之间无固定的相位关系,不能形成相干叠加,SBS相位共轭腔不能形成; SBS介质过短,腔内正交偏振模光子寿命的改变使脉冲出现双峰现象。脉冲形成后其属性只与SBS动态属性有关。     

Regular packings on periodic lattices

We investigate the problem of packing identical hard objects on regular lattices in d dimensions. Restricting configuration space to parallel alignment of the objects, we study the densest packing at a given aspect ratio X. For rectangles and ellipses on the square lattice as well as for biaxial ellipsoids on a simple cubic lattice, we calculate the maximum packing fraction φ(d)(X). It is proved to be continuous with an infinite number of singular points X(ν)(min), X(ν)(max), ν = 0, ±1, ±2,…. In two dimensions, all maxima have the same height, whereas there is a unique global maximum for the case of ellipsoids. The form of φ(d)(X) is discussed in the context of geometrical frustration effects, transitions in the contact numbers, and number-theoretical properties. Implications and generalizations for more general packing problems are outlined.     

基于光纤中SBS相位共轭的自调Q光纤激光器

分析了利用光纤中的受激布里渊散射(stimulated Brillouin scattering,SBS)相位共轭效应进行激光腔内调Q,产生ns量级脉冲激光的原理,并对利用该效应产生的激光脉冲波形和脉冲形成过程进行了数值模拟,得到的脉冲波形与SBS相位共轭反射率随时间变化曲线基本一致,表明利用光纤中的SBS相位共轭作用调Q具有可行性.据此,对采用单模光纤(single-mode fiber,SMF)作为SBS池的Er³⁺掺杂调Q光纤激光器进行实验研究.当单模光纤长度为1.5 m时,在45 mW的光抽运功率下得到脉宽约2.6ns,脉冲周期58.23ns,平均功率7.35mW的激光脉冲.进一步的研究表明:激光器中相位共轭镜的形成与SBS介质长度有关,SBS介质过长,斯托克斯线之间无固定的相位关系,不能形成相干叠加,SBS相位共轭腔不能形成;SBS介质过短,腔内正交偏振模光子寿命的改变使脉冲出现双峰现象.脉冲形成后其属性只与SBS动态属性有关.     

Thermodynamical Stability of a New Regular Black Hole

In this paper we consider a new regular black hole and calculate thermodynamical variables such as entropy, specific heat and free energy. Then we study thermodynamical stability of this black hole by using the specific heat in constant volume.     

Black Hole Formation from a Complete Regular Past

An open problem in general relativity has been to construct an asymptotically flat solution to a reasonable Einstein-matter system containing a black hole and yet causally geodesically complete to the past, containing no white holes. We construct such a solution in this paper–in fact a family of such solutions, stable in a suitable sense–where matter is described by a self-gravitating scalar field.     

Statistical Mechanics of a New Regular Black Hole

In this work we consider a new proposed regular black hole and study statistics of this black hole. We calculate partition function and related quantities which determine statistics of this black hole. We confirm that the microscopic entropy coincides with BH entropy.