Entangling Two Multi-atomic Clusters Through a Cavity Field

Two atomic clusters, which have NA and Ns two-level atoms, respectively, are placed in a cavity but separated spatially. There is no direct interaction between the atoms. All the atoms interact with a single-mode of the cavity field. Quantum entanglement between the two atomic clusters is investigated for various initial states of the two atomic clusters and the field. When the cavity field is initially in a Fock state, we find that the time evolution of entanglement quasi-periodically oscillates regardless of the initial states of atoms. The oscillation period increases as the initial photon number increases. When all the atoms in both of the atomic clusters are initially in the excited state, we show that there is no entanglement between the atomic clusters with NA = NB = 1 regardless the initial state of the cavity field. However, when either NA or NB is larger than one, we find that the entanglement always exists even for a strong thermal field. In cases with different initial states of the atomic clusters, we notice that the entanglement becomes stronger as number of the atoms increases. When all the atoms in both of the clusters in the ground state, we also find that the entanglement can be enhanced even by a thermal field. We also notice that a single qubit can be entangled with multi-atoms which are initially in the ground state by the cavity field initially being in vacuum, thermal, coherent, and squeezed states.     

双偶阶幻方变换数字图像的半周期

提出双偶阶幻方变换图像具有准周期性.通过理论推导和基于Matlab的实验证实,双偶阶幻方变换的图像会在半周期时部分恢复明文.半周期时,只需适当剪接就能完全恢复原图像:将变换的图像从中间水平剪开,(1)当n为4的偶数倍时,将上下两个半平面平移交换;(2)当n为4的奇数倍时,上下的半平面不交换,而是各自旋转了180°,其中n为幻方的阶数.上述性质应用于图像的加密和解密迭代过程,比传统算法节省近一半的时间.     

对有质量弹簧的振子系统振动周期的探讨

分析了典型振动信号频谱的分布特点,指出了具有弹簧质量的振子系统的振动频谱符合准周期信号的频谱分布特点,说明该振子系统不具有严格意义上的周期,只有近似意义上的准周期,明确了该振子系统的准周期性的概念.     

固体材料中的新成员——准晶体

 众所周知,晶体具有2、3、4、6这四种旋转对称性.可是1984年秋,美国国家标准局的道·谢克曼等人在用电子显微镜观察由特殊的急冷法制备的Al-Mn合金时,意外地观察到有五次对称性的清晰的电子衍射谱.由于这一发现“违背”了晶体学中最经典的基本定律,引起了许多晶体学家和凝聚态物理学家们的极大重视.各国科学家都争先用X射线衍射,中子衍射,电子衍射和高分辨电子显微镜等手段,对这种新材料进行了深入的研究,很快就弄清了它的结构特征.这些研究表明了它既不是晶体,也不完全是非晶体,而是一种介于晶体和非晶体之间的一种具有特殊排列方式的材料.并给它以“准晶体”这一新概念.     

体视图及其计算机生成

 有多种方法从平面图片得到逼真的立体感,如全息照片、双筒体视镜、红绿体视图、立体电影、三维幻视图等.除了全息照片是在重现时通过衍射重现出真实存在的物光波之外,其他方法都是利用双眼的视差效应     

Effective Reducibility of a Class of Linear Differential Equations with Quasiperiodic Coefficients

In this paper we consider the effective reducibility of the following linear differentialequation: x = (A ∈Q(t,∈))x, |∈| ≤ ∈0, where A is a constant matrix, Q(t,e) is quasiperiodic in t, and e is a small perturbation parameter. We prove that if the eigenvalues of A and the basic frequencies of Q satisfy some non-resonant conditions, the linear differential equation can be reduced to y = (A^*(∈) R^*(t, ∈))y, |∈| ≤ ∈o, where R^* is exponentially small in ∈.     

准晶的晶体学特征

10年前,具有五次旋转对称而无平移周期序的准晶问世,在与晶体及晶体学有关的学科领域里引起强烈反响。10年来的系统研究澄清了准晶晶体学中的一些问题,如(1)准晶还是五重孪晶? (2)为什么要有五次旋转对称? (3)为什么会有准周期性? (4)稳定的准晶存在吗? (5)准晶与近似晶体相有什么异同?     

海洋信道随机性引起的船舶噪声线谱衰减

阐述准周期性随机声脉冲序列作为船舶噪声模型的普适性,侧重讨论船舶噪声准周期性随机声脉冲序列所产生的线谱经随机海洋信道传输后的变化。指出在大多数工况下,船舶噪声并不是以几种不同频率的加性正弦波直接叠加在宽带连续谱噪声上,而是一类本身并不含有任何有限强度加性正弦波分量的信号。研究结果表明:海洋信道多途效应引起船舶噪声脉冲序列信号时域上时延扩展;海洋信道的随机性使船舶噪声随机声脉冲序列信号准周期性下降,导致船舶噪声线谱相对幅度“额外”快速衰减,对于存在大范围不均匀水团的海洋信道,50 km传播距离上其介质随机起伏引起的船舶噪声线谱“额外”衰减最高可达11 dB。海洋信道随机性引起的船舶噪声线谱衰减不可忽视。