Document Type
Conference Paper
Publication Date
2020
First Page
1
Last Page
14
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License
Abstract
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.
Recommended Citation
Kohn, Rudolph N. Jr. and Stickney, James A., "Dynamics Within a Tunable Harmonic/Quartic Waveguide" (2020). Space Dynamics Laboratory Publications. Paper 269.
https://digitalcommons.usu.edu/sdl_pubs/269