Controlling dynamics in atom-optics billiards with external force fields

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

doi:10.1109/qels.2002.1031104

Controlling dynamics in atom-optics billiards with external force fields

M.E. Andersen, A. Kaplan, N. Friedman, N. Davidson

Research output: Contribution to conference › Poster

Abstract

Summary form only given. We investigate classical dynamics of curved-trajectory billiards that would have been hyperbolic (i.e. billiards with non-vanishing Lyapunov exponent) if the particle had moved in straight lines. We introduce the curvature by applying external force fields on the particle. We analytically show that this can lead to the formation of elliptical orbits in hyperbolic billiards, and experimentally demonstrate these effects, using atom-optics billiards where ultracold atoms are trapped inside a dark optical trap, whose shape can be varied to create different atom dynamics.

Original language	English
Pages	68-69
Number of pages	2
DOIs	https://doi.org/10.1109/qels.2002.1031104
State	Published - 19 May 2002
Event	Quantum Electronics and Laser Science Conference, QELS 2002 - Long Beach, United States Duration: 19 May 2002 → 24 May 2002 https://ieeexplore.ieee.org/xpl/conhome/8015/proceeding

Conference

Conference	Quantum Electronics and Laser Science Conference, QELS 2002
Country/Territory	United States
City	Long Beach
Period	19/05/02 → 24/05/02
Internet address	https://ieeexplore.ieee.org/xpl/conhome/8015/proceeding

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10.1109/qels.2002.1031104

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abstract = "Summary form only given. We investigate classical dynamics of curved-trajectory billiards that would have been hyperbolic (i.e. billiards with non-vanishing Lyapunov exponent) if the particle had moved in straight lines. We introduce the curvature by applying external force fields on the particle. We analytically show that this can lead to the formation of elliptical orbits in hyperbolic billiards, and experimentally demonstrate these effects, using atom-optics billiards where ultracold atoms are trapped inside a dark optical trap, whose shape can be varied to create different atom dynamics.",

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year = "2002",

month = may,

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doi = "10.1109/qels.2002.1031104",

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AU - Kaplan, A.

AU - Friedman, N.

AU - Davidson, N.

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N2 - Summary form only given. We investigate classical dynamics of curved-trajectory billiards that would have been hyperbolic (i.e. billiards with non-vanishing Lyapunov exponent) if the particle had moved in straight lines. We introduce the curvature by applying external force fields on the particle. We analytically show that this can lead to the formation of elliptical orbits in hyperbolic billiards, and experimentally demonstrate these effects, using atom-optics billiards where ultracold atoms are trapped inside a dark optical trap, whose shape can be varied to create different atom dynamics.

AB - Summary form only given. We investigate classical dynamics of curved-trajectory billiards that would have been hyperbolic (i.e. billiards with non-vanishing Lyapunov exponent) if the particle had moved in straight lines. We introduce the curvature by applying external force fields on the particle. We analytically show that this can lead to the formation of elliptical orbits in hyperbolic billiards, and experimentally demonstrate these effects, using atom-optics billiards where ultracold atoms are trapped inside a dark optical trap, whose shape can be varied to create different atom dynamics.

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ER -

Controlling dynamics in atom-optics billiards with external force fields

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