论文标题
可调的谐波/四分之一波导中的动力学
Dynamics within a tunable harmonic/quartic waveguide
论文作者
论文摘要
我们提出了一种分析解决方案，以对雪茄形的谐波陷阱中非相互作用的热原子云的动力学进行分析解决方案，并沿着轴向方向进行四分之一的扰动。我们计算位置的第一和第二矩，足以表征陷阱。热云的动力学与单个粒子的动力学显着不同，即使振荡振幅接近零，振荡频率也存在。我们还提出了一些数值结果，这些结果描述了飞行时间对云行为的影响，以便更好地了解该系统的假设实验实现的结果。
We present an analytical solution to the dynamics of a noninteracting cloud of thermal atoms in a cigar-shaped harmonic trap with a quartic perturbation along the axial direction. We calculate the first and second moments of position, which are sufficient to characterize the trap. The dynamics of the thermal cloud differ notably from those of a single particle, with an offset to the oscillation frequency that persists even as the oscillation amplitude approaches zero. We also present some numerical results that describe the effects of time-of-flight on the behavior of the cloud in order to better understand the results of a hypothetical experimental realization of this system.
