双层量子霍尔系统在填充因子υ=1/2态的涡流解(英文)

以双层系统的ZHK 模型为基础,研究了双层量子霍尔系统在朗道填充因子取υ = 1=2 这种状态的静态涡流解。ZHK模型是一种包含Chern-Simons 规范相互作用的有效理论。为了简便,假定涡流具有柱对称的结构,随后写出了无量纲的非线性运动方程组,并分析了解的渐进行为。另外,在自对偶条件下,确定了自耦合常数的形式,并写出了关于密度的自对偶方程。最后,使用数值方法找到了类型分别为(0,1),(0, -1),(1,-1) 和(-1,-1) 的涡流解。发现拓扑数为(1,-1) 的涡流是不稳定的,它会衰变为(1,0) 和(0,-1) 两种涡流。数值结果表明,拓扑数为(0,-1)和(-1,-1)的涡流确实是自对偶涡流解。We investigate the static vortex solutions of a bilayer quantum Hall state at the Landau-level filling factor υ = 1=2. This work is based on the ZHK model, which is an effective field theory including Chern-Simons gauge interactions. We deduce the dimensionless nonlinear equations of motion for vortices possessing cylindrically symmetry, and analyze the asymptotical behaviors of solutions. Additionally, we analyze the values of critical coupling constants under the self-dual condition, and obtain the self-dual equations. Finally, vortices of type (0,1),(0, -1),(1,-1) and (-1,-1) are solved with numerical methods. We reach the conclusion that vortex of type (11,-1) is unstable, which will decay to (1,0) and (0,-1). The vortices of type (0,-1) and (-1,-1) are self-dual solutions from numerical results.     

Performance evaluation of Fi-Wi network based on SCM–optical code division multiple access architecture

This paper investigates the performance of a spectral amplitude coding (SAC)–OCDMA system design utilizing subcarrier multiplexing techniques for use in the popular fiber-wireless (Fi-Wi) technology. Zero cross correlation code is employed because of its ability to eliminate phase induced intensity noise (PIIN) and the simplicity of using a direct detection technique at the receiving end. The performances are evaluated theoretically to derive the signal-to-noise ratio and results are presented in terms of bit error rates (BER). Results are analyzed to investigate the effect of code weight and variable data rates on the system performance. To validate the results, simulative analysis is also done using Optisys version 6.0. We demonstrated that the ZCC code performed better compared to other code for a BER floor of 10⁻⁹ with larger cardinality of subscribers. Results obviously indicate that system performance can be improved with larger code weight. In addition, the choice of lower bit rate is observed to perform better and more suitable for application in this hybrid Fi-Wi network.     

间接驱动的内爆不对称性随腔长和时间变化的研究

在激光间接驱动惯性约束聚变中, 为达到高密度压缩以实现点火, 对靶丸内爆对称性和黑腔辐射场均匀性有严格的要求. 为了研究内爆不对称性随腔长和时间的变化, 实验中采用了三种不同尺寸的黑腔, 利用X光分幅相机观测了靶丸燃料区自发光, 获得了压缩变形过程和椭圆度变化规律, 初步判断了在三种腔型中腔长1700 μm 的黑腔较接近神光Ⅲ原型装置内爆对称性要求. 根据视角因子程序计算得到辐射流不对称性随时间变化情况, 通过一个简化的解析模型推导出内爆形变不对称性随时间变化过程, 与实验结果大致符合. 由此进一步分析了黑腔辐射场不均匀性的演化导致内爆不对称性随腔长和时间变化的物理机制. 关键词： 内爆不对称性 黑腔辐射场不均匀性 腔长 视角因子程序     

靶丸变形实验的多群扩散整体数值模拟

神光Ⅱ装置上靶丸压缩实验中,黑腔长度的变化会影响靶丸赤道和两极受到的辐照强度,从而导致燃料区被压缩成不同的形状。介绍了辐射多群扩散建模下的辐射流体力学方程组及其数值方法。采用最近研制的二维总体LARED集成程序,对神光Ⅱ不同长度黑腔靶丸压缩变形实验进行了整体数值模拟。结果表明辐射多群扩散建模可以反映腔内辐照均匀性变化情况,靶丸压缩形状与神光Ⅱ实验定性一致。     

低能电子致DNA链断裂的纳剂量蒙特卡罗模拟

为了对DNA损伤进行纳剂量蒙特卡罗模拟,先根据D.Emfietzoglou给出的介电响应理论和Born修正模型计算了低能电子与液态水的非弹性反应截面,在Geant4-DNA的基础上建立了纳剂量蒙特卡罗程序的物理模块,同时参照国际纳剂量蒙特卡罗程序使用的模型参数建立了纳剂量蒙特卡罗程序的前化学模块、化学模块、DNA几何模块及DNA损伤模块。利用本程序,采用H. Nikjoo给出的对电子均匀照射DNA情形的模拟方法,还模拟计算了不同能量电子均匀照射DNA所导致的DNA链断裂产额,并与已公布的实验数据进行比对,二者符合良好。     

正交码元移位键控扩频水声通信

码元移位键控(CSK)作为一种广义的M元扩频技术被广泛应用于水声通信领域来克服扩频增益对通信速率的限制.为了获得更高的通信速率, 减少通道间干扰, 并充分利用 CSK的冗余信息, 本文提出联合利用码元相位信息的正交双通道CSK扩频水声通信技术.首先, 推导了正交CSK每符号积分输出的表达式; 然后, 研究了正交CSK的性能及与传统CSK和双通道CSK对比仿真的误码率; 最后, 通过实验验证了仿真对比的正确性. 实现了正交CSK在10⁴ bits, 4 kHz带宽下580.6 bps通信速率的有效传输. 通过公式推导、 仿真分析和实验研究, 得到正交CSK提供了优良的性能的结论. 关键词： 水声通信 扩频 正交 CSK     

Homological stabilizer codes

In this paper we define homological stabilizer codes on qubits which encompass codes such as Kitaev’s toric code and the topological color codes. These codes are defined solely by the graphs they reside on. This feature allows us to use properties of topological graph theory to determine the graphs which are suitable as homological stabilizer codes. We then show that all toric codes are equivalent to homological stabilizer codes on 4-valent graphs. We show that the topological color codes and toric codes correspond to two distinct classes of graphs. We define the notion of label set equivalencies and show that under a small set of constraints the only homological stabilizer codes without local logical operators are equivalent to Kitaev’s toric code or to the topological color codes.     

On Perfect 2‐Colorings of Johnson Graphs J(v, 3)

We study the perfect 2‐colorings (also known as the equitable partitions into two parts or the completely regular codes with covering radius 1) of the Johnson graphs . In particular, we classify all the realizable quotient matrices of perfect 2‐colorings for odd v. © 2012 Wiley Periodicals, Inc. J. Combin. Designs 21: 232–252, 2013     

Hermitian‐type generalized singular value decomposition with applications

For a pair of given Hermitian matrix A and rectangular matrix B with the same row number, we reformulate a well‐known simultaneous Hermitian‐type generalized singular value decomposition (HGSVD) with more precise structure and parameters and use it to derive some algebraic properties of the linear Hermitian matrix function A?BXB* and Hermitian solution of the matrix equation BXB* = A, and the canonical form of a partitioned Hermitian matrix and some optimization problems on its inertia and rank. Copyright © 2012 John Wiley & Sons, Ltd.