Complex-valued fractional statistics for D-dimensional harmonic oscillators

A system of isotropic harmonic oscillators obeying the Polychronakos fractional statistics with a complex parameter in a space having the dimension D>1$D>1$ is studied. Temperature dependences of the thermodynamic functions are analyzed in different temperature domains. The nature of the observed phase transitions is clarified. Both numerical and analytical estimates for the critical temperature are made depending on the number of particles, space dimensionality, and statistics parameter. Approximate correspondence with some other fractional statistics types is established.     

具时变刚度的相对转动非线性动力系统的周期解问题

建立了一类具有时变刚度,非线性阻尼力和强迫周期力项的相对转动非线性动力系统. 运用Mawhin重合度理论,得到了该模型的周期解存在唯一性结果,推广了已有的结果, 并且列举了具体的例子来说明本文的结果是新的. 关键词： 相对转动非线性动力系统 时变刚度 周期解 存在唯一性     

基于光环路正交频分多址无源光网络的光拍频噪声避免方案及性能仿真(英文)

在正交频分多址无源光网络上行传输中,不同光网络单元的上行信号如果采用相同波长的不同激光器将会产生光拍频噪声,使得光网络单元的无色性难以实现.本文以正交频分多址无源光网络为研究对象,通过对系统结构的研究和相关公式的推导,分析了信号上行传输中光拍频噪声的产生原因和避免方式.针对下行发送上行载波结合光线路终端相干接收的光拍频噪声避免方案进行了仿真研究.分析了系统的抗色散方案以及色散累积和训练序列长度对系统性能的影响,给出了优化的参数设置,为系统实际应用提供了理论参考.     

空地激光通信系统中捕获子系统仿真

针对空地激光通信系统,推导了复合光栅螺旋扫描捕获方法所需的最大捕获时间、平均捕获时间和捕获概率的计算公式,建立了捕获性能仿真模型,分析了捕获时间和捕获概率的关系,以及空中平台的相对速度对捕获系统的影响和抑制方法.仿真结果表明,当通信终端的捕获不确定区域为50mrad,扫描重叠因子为0.12时,捕获探测器的信噪比大于6时,空地激光通信系统总的捕获概率优于95%,最大捕获时间约为36s,平均捕获时间约为12s.     

引射系统排气装置的数值模拟

为削弱引射系统尾气对光传输的影响,依据将尾气排放到光传输区域以外的设计思路,运用数值模拟的方法,对引射系统排气管道内的流场特性及尾气射流影响区域开展了研究。通过对直管道以及弯管道内流场特性的数值分析和比较,给出了一种排气管道的结构设计方式。在给定系统出口速度的情况下,运用多组分输运模型,分别对无自然风和有侧向自然风状态下的尾气影响范围进行了分析,初步确定了尾气射流排出系统后的影响区域,并依据尾气影响区域,对管道长度及布置方式进行了研究。     

基于柔性电路板单纤双向光纤组件的以太无源光网络单元研制(英文)

随着宽带接入技术的发展,以太无源光网络是光纤到户的一种备选方案.而光网络单元数量众多,其成本成为限制以太无源光网络技术实施的重要影响因素.本文提出了一种低成本以太无源光网络单元实现方式:采用带柔性电路板的单纤双向光纤组件直接安装在光网络单元的电路板上.为了验证弯曲柔性电路板的高速性能没有恶化,采用有限元方法仿真了弯曲柔性电路板的小信号响应.由于该方式没有独立的光收发模块,无法采用比特误码分析仪进行测试,因此提出了采用网络测试仪搭建光网络单元的光信号性能测试系统的方案并实现了对光信号的性能测试.结果表明:对于发射机,在0℃~70℃的范围内得到了超过10dB的消光比和1dBm的平均发射功率;对于接收机,估算灵敏度为-27dBm.     

Tripartite Nonlinear Entangled State Representations in Quantum Mechanics

Based on the technique of integral within an ordered product of nonlinear bosonic operators we construct a kind of tripartite nonlinear entangled states, which can make up a complete set. As its application, we also derive nonlinear 3-mode charge-related entangled state. The essential point for constructing these states lies in choosing the appropriate charge operator.     

A One-Pot Entry to a Novel 3-H-benzo[d]pyrazolo[1,5-b]isothiazole Ring System

Summary The phosphorus ylide obtained from the reaction between 2-aminobenzo[d]isothiazol-3-one and dimethyl acetylenedicarboxylate in the presence of triphenylphosphine undergoes a smooth intramolecular Wittig-type reaction to produce, in a one-pot reaction, 3-H-benzo[d]pyrazolo[1,5-b]isothiazole-2,3a-dicarboxylic acid dimethyl ester, a novel functionalized heterocyclic compound.     

塑料光纤拉丝塔控制系统设计

为减小塑料光纤纤芯直径波动造成的非固有散射损耗,设计了一种新型光纤拉丝塔控制系统,详细阐述了其工作原理及软硬件实现过程。采用单片机作为核心处理部件,合理设计传感器测温电路、加热炉温度控制电路、直径测量和控制电路以及友好的人机界面。实验表明系统拉丝芯径范围宽(0.2～3mm),拉制光纤直径均匀,精度可控制在15μm以内。整个系统成本低,实用价值高,满足塑料光纤实验室研究需要,可供实际生产参考。     

Emergent Newtonian dynamics and the geometric origin of mass

We consider a set of macroscopic (classical) degrees of freedom coupled to an arbitrary many-particle Hamiltonian system, quantum or classical. These degrees of freedom can represent positions of objects in space, their angles, shape distortions, magnetization, currents and so on. Expanding their dynamics near the adiabatic limit we find the emergent Newton’s second law (force is equal to the mass times acceleration) with an extra dissipative term. In systems with broken time reversal symmetry there is an additional Coriolis type force proportional to the Berry curvature. We give the microscopic definition of the mass tensor. The mass tensor is related to the non-equal time correlation functions in equilibrium and describes the dressing of the slow degree of freedom by virtual excitations in the system. In the classical (high-temperature) limit the mass tensor is given by the product of the inverse temperature and the Fubini–Study metric tensor determining the natural distance between the eigenstates of the Hamiltonian. For free particles this result reduces to the conventional definition of mass. This finding shows that any mass, at least in the classical limit, emerges from the distortions of the Hilbert space highlighting deep connections between any motion (not necessarily in space) and geometry. We illustrate our findings with four simple examples.