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Considering the coupled nonlinear Schr¨odinger system with multiply components, we provide a novel framework for constructing energy-preserving algorithms. In detail, based on the high order compact finite difference method, Fourier pseudospectral method and wavelet collocation method for spatial discretizations, a series of high accurate conservative algorithms are presented. The proposed algorithms can preserve the corresponding discrete charge and energy conservation laws exactly, which would guarantee their numerical stabilities during long time computations.Furthermore, several analogous multi-symplectic algorithms are constructed as comparison. Numerical experiments for the unstable plane waves will show the advantages of the proposed algorithms over long time and verify the theoretical analysis. 相似文献
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This paper obtains the exact analytical solution of atomic
Raman--Nath diffraction in the coordinate representation and
discusses the influence of different initial conditions and detunings
on the atomic spatial population distribution. The phase difference
between the dipole matrix element and initial atomic population may
influence the atomic spatial population distribution after
diffraction, which has never been discussed before as far as we know.
It offers a method to measure the phase by the spatial population
distribution, which is interesting in the study of quantum optics. 相似文献
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为探索重力瞬变引起的约束液滴自激振荡机理, 本文利用落塔装置模拟短时微重力环境并借助高速CCD记录圆形限位基片上液滴整个过程的运动情况. 自激振荡是微重力下液滴形态的重整恢复过程, 边界的限位作用使得液滴在整个运动过程接触线钉扎不变, 具体可分为两个阶段: 首先是振荡的高低点位置高度渐进上升的液滴形态变化阶段, 与重力环境渐进变化有关; 而后是平衡位置附近的阻尼衰减振荡阶段, 此时振荡的频率恒定, 振幅衰减类似孤立黏性液滴的指数衰减过程. 对于第二阶段, 在高低点等位置处存在高度不变过程, 高度起伏变化时液滴振荡模式类似自由液滴二阶振荡, 高度不变时振荡模式类似自由液滴三阶振荡. 此外, 对于本实验体系的恒定接触面积的钉扎约束, 液滴的体积量不同时, 内驱振荡的阶段和模式不变, 但具体的振荡过程有所不同. 对于大体积液滴, 会在初始振荡的中间位置出现高度不变现象, 并且随振荡逐渐消失; 而小液滴中间位置则不存在此现象, 波形较一致; 第二阶段小体积液滴振幅衰减的阻尼率更大, 无量纲频率也更高. 相似文献
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In this paper, we investigate the behaviour of the geometric phase of a more generalized nonlinear system composed of an effective two-level system interacting with a single-mode quantized cavity field. Both the field nonlinearity and the atom-field coupling nonlinearity are considered. We find that the geometric phase depends on whether the index k is an odd number or an even number in the resonant case. In addition, we also find that the geometric phase may be easily observed when the field nonlinearity is not considered. The fractional statistical phenomenon appears in this system if the strong nonlinear atom-field coupling is considered. We have also investigated the geometric phase of an effective two-level system interacting with a two-mode quantized cavity field. 相似文献
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Considering the coupled nonlinear Schrodinger system with multiply components, we provide a novel framework for constructing energy-preserving algorithms. In detail, based on the high order compact finite difference method, Fourier pseudospectral method and wavelet collocation method for spatial discretizations, a series of high accurate conservative algorithms are presented. The proposed algorithms can preserve the corresponding discrete charge and energy conservation laws exactly, which would guarantee their numerical stabilities during long time computations. Furthermore, several analogous multi-symplectic algorithms are constructed as comparison. Numerical experiments for the unstable plane waves will show the advantages of the proposed algorithms over long time and verify the theoretical analysis. 相似文献
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该文在去除背景便能获得目标的分割思想之上,提出了一个凸的无约束最小化问题。证明了问题提出过程中添加惩罚项的合理性,并通过实验验证了证明结果。在最小化求解方面,应用次微分和近似算子的相关理论,构造了求解的不动点算子,进而结合Opial -averaged定理,给出了求解所提凸优化问题的不动点算法,并理论推导出了收敛条件,证明了算法的收敛性。与经典文献方法的对比实验表明所提方法分割结果更精确。同时实验显示该文算法比梯度下降法和分裂Bregman方法更快速。另外,所提算法对初始曲线和噪声有较好的鲁棒性。 相似文献
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亲水玻璃基片在掩模板的保护下, 通过喷涂超疏水层, 得到了被疏水层包围的圆形亲水区域. 胶体液滴在这一区域被很好地限制, 并且液滴体积可以在较大范围内变化, 体积的变化可以改变液滴与基片的表观接触角. 通过显微观察手段原位观察了表观接触角为疏水的受限胶体液滴蒸发过程中粒子沉积行为. 在整个蒸发过程中, 受限液滴边界被钉扎在亲疏水交界处. 粒子沉积过程中, 驱动粒子的液滴内部流动会发生变化. 粒子沉积图案形成过程由三种流体行为控制, 最初, Marangoni效应占主导作用, 驱动粒子在液滴表面聚集, 随之沉积到液滴边缘; 随着蒸发进行, 当接触角变小(<60°)时, 由于边界蒸发速度更快导致的毛细补偿流使得粒子直接向边界沉积. 在干燥的最后阶段, 亲水区域内的液层变得很薄, 只有一单层粒子存在于这一薄液层中, 蒸发继续进行时, 薄液层发生失稳使得粒子迅速聚集而形成网络化图案, 由于粒子间距变小, 球间的液桥毛细力也会参与到这一聚集过程中. 相似文献
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Possible Realization of Cluster States and Quantum Information Transfer in Cavity QED via Raman Transition 下载免费PDF全文
We present a scheme to generate cluster states with many scheme, no transfer of quantum information between the atoms in cavity QED via Raman transition. In this atoms and cavities is required, the cavity fields are only virtually excited and thus the cavity decay is suppressed during the generation of cluster states. The atoms are always populated in the two ground states. Therefore, the scheme is insensitive to the atomic spontaneous emission and cavity decay. We also show how to transfer quantum information from one atom to another. 相似文献