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Nonlinear Dynamics of a Bose-Einstein Condensate in a Magnetic Waveguide

Herwig OttPhysikalisches Institut der Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany. [email protected]József FortághPhysikalisches Institut der Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, GermanySaskia KraftPhysikalisches Institut der Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, GermanyAndreas GüntherPhysikalisches Institut der Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, GermanyD. KommaPhysikalisches Institut der Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, GermanyC. ZimmermannPhysikalisches Institut der Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany
2003en
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We have studied the internal and external dynamics of a Bose-Einstein condensate in an anharmonic magnetic waveguide. An oscillating condensate experiences a strong coupling between the center of mass motion and the internal collective modes. Because of the anharmonicity of the magnetic potential, not only the center of mass motion shows harmonic frequency generation, but also the internal dynamics exhibit nonlinear frequency mixing. Thereby, the condensate shows shape oscillations with an extremely large change in the aspect ratio of up to a factor of 10. We describe the data with a theoretical model to high accuracy. For strong excitations we test the experimental data for indications of a chaotic behavior.

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