论文标题
光学晶体中带电颗粒波函数的时间演变：基于等离子体的质子束的相干Kapitza-Dirac效应
Time evolution of charged particle wave functions in optical crystal: The coherent Kapitza-Dirac effect for plasma-based proton beams
论文作者
论文摘要
在数值上获得了限制在一维无限平方孔中的光学晶体的浮子电位的固定特征和特征值。以高斯的传入颗粒的初始状态是根据浮子电位的固定特征状态扩展的，以获得与光学晶体相互作用期间粒子波函数的后续时间演变。从概率密度的时间演变的结果来看，可以观察到粒子在横向方向的等距位置定位，从而导致衍射模式。分析了衍射模式的时间演化。作为应用，研究了质子束的衍射，在其中优化了实验参数以观察基于微波等离子体的质子束系统的衍射图。该观测对于设计基于质子的物质波干涉仪很重要。
The stationary eigenstates and eigenvalues for the ponderomotive potential of an optical crystal confined in a one-dimensional infinite square well are numerically obtained. The initial states of the incoming particles taken as Gaussian, are expanded in the basis of the stationary eigenstates of the ponderomotive potential, to obtain the subsequent time evolution of the wave function of the particle during the interaction with the optical crystal. From the results of the time evolution of the probability density, it is observed that the particles get localized at equidistant positions in the transverse direction, which results in the diffraction pattern. The temporal evolution of the diffraction pattern is analyzed. As an application, the diffraction of proton beams is studied, where the experimental parameters are optimized to observe the diffraction pattern for a microwave plasma-based proton beam system. The observations are important for design of proton based matter-wave interferometers.
