Title :
Controlling dynamics in atom-optics billiards with external force fields
Author :
Andersen ; Kaplan, A. ; Friedman, Nizan ; Davidson, Nigel
Author_Institution :
Dept. of Phys. of Complex Syst., Weizmann Inst. of Sci., Israel
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.
Keywords :
Lyapunov methods; atom optics; laser cooling; optical chaos; radiation pressure; atom-optics billiards; classical dynamics; curved-trajectory billiards; dark optical trap; dynamics control; elliptical orbits; external force fields; half Bunimovich stadium in gravity; hyperbolic billiards; laser cavities; nonvanishing Lyapunov exponent; parabolic potential; stable islands; tightly focused laser beam; ultracold atoms; velocity selective stability; Chaos; Lyapunov methods;
Conference_Titel :
Quantum Electronics and Laser Science Conference, 2002. QELS '02. Technical Digest. Summaries of Papers Presented at the
Conference_Location :
Long Beach, CA, USA
Print_ISBN :
1-55752-708-3
DOI :
10.1109/QELS.2002.1031104