Fractal templates in the escape dynamics of trapped ultracold atoms

Details Fractal templates in the escape dynamics of trapped ultracold atoms Fractal templates in the escape dynamics of trapped ultracold atoms

2006-12-05

arxiv.org/abs/physics/0612052v1

Physics

Atomic Physics

11 pages with 5 figures

Scientific paper

10.1103/PhysRevA.76.031403

We consider the dynamic escape of a small packet of ultracold atoms launched from within an optical dipole trap. Based on a theoretical analysis of the underlying nonlinear dynamics, we predict that fractal behavior can be seen in the escape data. This data would be collected by measuring the time-dependent escape rate for packets launched over a range of angles. This fractal pattern is particularly well resolved below the Bose-Einstein transition temperature--a direct result of the extreme phase space localization of the condensate. We predict that several self-similar layers of this novel fractal should be measurable and we explain how this fractal pattern can be predicted and analyzed with recently developed techniques in symbolic dynamics.

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