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Spatial Electron Clouds at Fractional and Multiple Magneto-optical resonances

机译:分数和多重磁光共振下的空间电子云

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摘要

We solve numerically the relativistic Liouville equation for the phase space density of an atom in a uniform static magnetic field and a laser field. If the cyclotron frequency that is associated with the magnetic field is tuned slightly above a multiple or a fraction of the frequency of the laser field, the electron's dynamics becomes resonant and its velocity can approach the speed of light. We compare the spatial electron distributions at these resonances with those obtained from the corresponding non-relativistic calculations and find the formation of stable ring-shaped distributions at the multiple resonances. The fractional resonances are characterized by figure-eight or propeller-shaped distributions.
机译:我们用数值相对论性的Liouville方程求解在均匀静磁场和激光场中原子的相空间密度。如果将与磁场相关的回旋加速器频率微调到略高于激光场频率的几倍或几分之一,则电子的动力学将变得共振,并且其速度会接近光速。我们将这些共振处的空间电子分布与从相应的非相对论计算中获得的空间电子分布进行比较,并发现在多个共振处形成稳定的环状分布。分数共振的特征是八字形或螺旋形分布。

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