

M. F. Andersen, A. Kaplan, N. Friedman and N. Davidson
We investigate the effects of curving trajectories by applying external force fields on a particle in a billiard. We investigate two special cases: a constant force field and a parabolic potential. These perturbations change the stability conditions and can lead to formation of elliptical orbits in otherwise hyperbolic billiards. We demonstrate these effects experimentally with ultra-cold atoms in atom-optic billiards.
“Stable islands in chaotic
atom-optics billiards, caused by curved trajectories”, M. F. Andersen, A.
Kaplan, N. Friedman and N. Davidson, J. Phys. B: At. Mol. Opt. Phys. 35 (2002)
2183 (Abstract, PDF)