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Stable islands in chaotic atom-optics billiards, caused by curved trajectories

Mikkel F. AndersenDepartment of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, IsraelAriel KaplanDepartment of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, IsraelNir FriedmanDepartment of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, IsraelNir DavidsonDepartment of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
2002en
ABI

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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.

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