表面缺陷基态模孤子的性质及其临界行为

表面缺陷基态模孤子的性质在实现全光控制方面有重要的应用。基于非线性薛定谔方程,利用虚时间变换、非线性松弛法以及分步傅里叶算法等数值方法对具有半无限缺陷光格子的克尔型非线性介质中存在的基态模的特性进行了详细研究。研究结果表明:对于吸引型半无限缺陷光格子,表面缺陷基态模只能分布于缺陷处,而对于排斥型半无限缺陷光格子,表面缺陷基态模既可以分布于缺陷处,也可以分布于其他格子通道处;每个系统参数存在着一个临界值,当其他参数保持不变的情况下,这个系统参数的数值大于或小于其临界值时,表面缺陷基态模将能或不能分布于缺陷处。从物理机制方面看,光格子与光束诱导的非线性折射率之间的竞争导致了这种临界行为的出现。     

Soliton Solutions,Bcklund Transformations and Lax Pair for a(3 + 1)-Dimensional Variable-Coefficient Kadomtsev–Petviashvili Equation in Fluids

Under investigation in this paper is a(3 + 1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation, which describes the propagation of surface and internal water waves. By virtue of the binary Bell polynomials,symbolic computation and auxiliary independent variable, the bilinear forms, soliton solutions, B¨acklund transformations and Lax pair are obtained. Variable coefficients of the equation can affect the solitonic structure, when they are specially chosen, while curved and linear solitons are illustrated. Elastic collisions between/among two and three solitons are discussed, through which the solitons keep their original shapes invariant except for some phase shifts.     

Xe和Kr中宽带可调谐VUV/XUV相干辐射产生机制的研究

以一台激光光源的输出作为基波在Xe,Kr脉冲气流中利用非共振四波和频和三次谐波过程获得在92～145nm范围内宽带可调谐相干辐射输出,观察和分析了非线性过程中气体密度,元素的色散对相位匹配的影响,观察了三次谐波过程中的三光子共振现象,在Xe中获得了高Rydberg态三光子共振增强的VUV相干辐射光谱,其可分辨主量子数达到34左右.     

Local attractors for weakly damped forced KdV equation in thin 2D domains

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The research of blow-up in 2D weakly damped forced KdV equation on thin domain

ＩｎｔｒｏｄｕｃｔｉｏｎＷｉｔｈｃｏｍｐｌｅｘｉｔｙｏｆｔｈｅｄｙｎａｍｉｃｓｏｆｔｈｅｈｉｇｈｅｒ＿ｄｉｍｅｎｓｉｏｎａｌｄｉｓｓｉｐａｔｉｖｅｓｙｓｔｅｍｓｏｌｉｔａｒｙｗａｖｅ ,ｔｈｅｒｅｉｓｍｕｃｈｄｉｆｆｉｃｕｌｔｙｉｎｓｔｕｄｙｉｎｇｔｈｅｓｅｐｒｏｂｌｅｍｓ.Ｔｈｅｐａｐｅｒｓ [1 ]～ [3]ｍｅｎｔｉｏｎｅｄｔｈｅｔｗｏ＿ｄｉｍｅｎｓｉｏｎａｌＫｄＶｅｑｕａｔｉｏｎｓｄｒｉｖｅｎｂｙＬａｘａｎｄ [3]ｏｂｔａｉｎｅｄｔｈｅｅｘｉｓｔｅｎｃｅｏｆｓｏｌｕｔｉｏｎｔｏｔｈｅｅｑｕａｔｉｏｎｓ…     

Effective sideband cooling in an ytterbium optical lattice clock

Sideband cooling is a key technique for improving the performance of optical atomic clocks by preparing cold atoms and single ions into the ground vibrational state. In this work, we demonstrate detailed experimental research on pulsed Raman sideband cooling in a $^{171}$Yb optical lattice clock. A sequence comprised of interleaved 578 nm cooling pulses resonant on the 1st-order red sideband and 1388 nm repumping pulses is carried out to transfer atoms into the motional ground state. We successfully decrease the axial temperature of atoms in the lattice from 6.5 μK to less than 0.8 μK in the trap depth of 24 μK, corresponding to an average axial motional quantum number $\langle n_z\rangle<0.03$. Rabi oscillation spectroscopy is measured to evaluate the effect of sideband cooling on inhomogeneous excitation. The maximum excitation fraction is increased from 0.8 to 0.86, indicating an enhancement in the quantum coherence of the ensemble. Our work will contribute to improving the instability and uncertainty of Yb lattice clocks.     

NaGdF4:Eu3+的结构和VUV荧光性质

利用水热方法合成了纯度较高的六方结构的ＮaGdF4,在氧气存在条件下950℃加热处理可以使其转变为CaF2型立方结构,在真空紫外光激发下,六方结构的NaGdF4:Eu^3 中的Gd^3 离子吸收一个光子,并将能量分两步传递给Eu^3 离子,发生双光子发射,立方结构的NaGdF4:Eu^3 中存在有一定量的氧离子取代缺陷,使Gd^3 离子4f-5d跃迁移到177nm附近,这与惰性气体放电产生的真空紫外波长一致。     

应用极坐标一例

利用极坐标系中径向中速度与横向速度的概念求解运动学中的一个追线问题。     

弱的参数周期扰动对一非线性系统安全域的影响与分形侵蚀安全域的控制

讨论了弱参数周期扰动对于非线性系统安全域的影响,在一定频率下的参数周期扰动将加速安全域的分形侵蚀,而在另一些频率的扰动下,将抑制安全域的分形侵蚀,并且存在着增进安全域的最优频率.提出了用弱参数周期扰动控制受到分形侵蚀的安全域的方法,并用Melnikov方法进行了分析.最后讨论了这种控制安全域的方法在实际环境中当具有外加噪声时的鲁棒性. 关键词： 分形吸引域边界 参数的周期扰动 控制     

非线性Jaynes-Cummings模型中原子偶极矩的高阶压缩

研究了非线性双光子Jaynes-Cummings(J-C)模型系统中原子偶极矩高阶压缩的时间演化特性及其产生条件。结果表明,在弱场条件下,原子偶极矩色散或吸收分量的二阶和六阶量子涨落可被周期性压缩,非线性修正项或失谐量以及热噪声对压缩程度有显著的影响。