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

M. F. Andersen; A. Kaplan; N. Friedman; N. Davidson

doi:10.1088/0953-4075/35/9/315

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

M. F. Andersen^*, A. Kaplan, N. Friedman, N. Davidson

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

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.

Original language	American English
Article number	315
Pages (from-to)	2183-2190
Number of pages	8
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Volume	35
Issue number	9
DOIs	https://doi.org/10.1088/0953-4075/35/9/315
State	Published - 14 May 2002
Externally published	Yes

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

abstract = "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.",

author = "Andersen, {M. F.} and A. Kaplan and N. Friedman and N. Davidson",

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AU - Andersen, M. F.

AU - Kaplan, A.

AU - Friedman, N.

AU - Davidson, N.

PY - 2002/5/14

Y1 - 2002/5/14

N2 - 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.

AB - 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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U2 - 10.1088/0953-4075/35/9/315

DO - 10.1088/0953-4075/35/9/315

M3 - Article

AN - SCOPUS:0037076454

SN - 0953-4075

VL - 35

SP - 2183

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JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

IS - 9

M1 - 315

ER -

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

Abstract

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