与不变量有关的幺正变换方法和三次量子化宇宙波函数的演化

首先在推广了的量子不变量理论的基础上建立了与不变量有关的立正变换方法,并用此方法研究了三次量子化宇宙波函数的演化,求得了系统的相因子、波函数.并通过构造相干态求得了Wheeler—Dewitt方程的解以及由三次量子化引起的相对量子起伏.     

Atom waveguide and 1D optical lattice using a two-color evanescent light field around an optical micro/nano-fiber

We propose a two-color scheme of atom waveguides and one-dimensional （1D） optical lattices using evanescent wave fields of different transverse modes around an optical micro/nano-fiber. The atom guide potential can be produced when the optical fiber carries a red-detuned light with TE01 mode and a blue-detuned light with HEll mode, and the 1D optical lattice potential can be produced when the red-detuned light is transformed to the superposition of the TE01 mode and HE11 mode. The two trapping potentials can be transformed to each other for accurately controlling mode transformation for the red-detuned light. This might provide a new approach to realize flexible transition between the guiding and trapping states of atoms.     

THE EXACT SOLUTION OF A TWO-LEVEL ATOM MOVING IN A QUANTIZED TRAVELLING LIGHT FIELD AND A GRAVITATIONAL FIELD

We adopt a dynamical algebraic approach to study the system of a two-level atom moving in a quantized travelling light field and a gravitational field with a multiphoton interaction. The exact solution of the system is obtained and used to discuss the influence of the gravitational field on the collapses and revivals of atomic population, sub-Poissonian statistics.     

一维光传输介质中折射率波动的统计表征

介绍了一种基于介观反射光谱分析的纳米尺度折射率波动表征的方法,揭示了介观反射光谱用于纳米尺度折射率波动表征的机理.采用时域有限差分方法,分析了光在一维折射率分布介质中的传播情况和光谱特征,并通过精确控制一维通道内部折射率波动的标准差和空间相关长度,定量分析了混乱度的仿真计算值及其与理论设置值的关系.结果表明,反射光谱对...     

Atom waveguide and 1D optical lattice using a two-color evanescent light field around an optical micro/nano-fiber

We propose a two-color scheme of atom waveguides and one-dimensional(1D)optical lattices using evanes- cent wave fields of different transverse modes around an optical micro/nano-fiber.The atom guide poten- tial can be produced when the optical fiber carries a red-detuned light with TE_(01)mode and a blue-detuned light with HE_(11)mode,and the 1D optical lattice potential can be produced when the red-detuned light is transformed to the superposition of the TE_(01)mode and HE_(11)mode.The two trapping potentials can be transformed to each other for accurately controlling mode transformation for the red-detuned light.This might provide a new approach to realize flexible transition between the guiding and trapping states of atoms.     

光的两种模式间的一种非经典性质的转移

利用与不变量有关的幺正变换方法并利用数值计算，研究了光的两种模式间的一种非经典性质的转移问题：Fock态(为非经典态)与相干态的相互转换问题. 关键词：     

煤多相燃烧分形增长模型的初步研究

本文运用分形理论对煤的多相燃烧过程进行了探索性研究。根据分形动力学的概念认为；煤的多相燃烧中，反应面积的分形增长有DLC模式和KLC模式，一般情况是这两种模式的迭加。模型还引入了孔洞的合并及煤种的影响因素，初步提出了较有通用意义的燃烧模型。该模型把对碳焦的表面分形与燃烧速率的计算结合起来初步揭示了碳焦结构对燃烧过程的影响。     

Transverse Multimode Evolution in Non-Adiabatic Optical Micro/Nanofiber Tapers

The multimode evolution, optical losses and wavelength response of non-adiabatic micro/nano-fiber （MNF） tapers are numerically simulated using a three-dimensional finite-difference beam propagation method. For a non-adiabatic MNF taper, it is illustrated that optical losses vary with the transition region length and the optical wavelength. We explain how the complicated multimode evolutions result in the complicated optical loss and wavelength response properties, especially when the waist diameters are large enough to allow much higher-order modes. These results may offer valuable references for trapping and guiding cold atoms in atom optics and practical application of micro/nano-devices.     

Invariant theory and exact solutions of the time-dependent supersymmetric two-level multiphoton Jaynes－Cummings model

On the basis of the fact that the two-level multiphoton Jaynes－Cummings (TLMJC) model possesses a supersymmetric structure, an invariant is constructed in terms of the supersymmetric generators by working in the sub-Hilbert-space corresponding to a particular eigenvalue of the conserved supersymmetric generators (the time-independent invariant). In this paper, we investigate the invariant-related unitary transformation approach to exact solutions of the time-dependent TLMJC model.