Chaotic dynamics and fractal structures in experiments with cold atoms
arXiv:1702.02441 · doi:10.1103/PhysRevA.95.013629
Abstract
We use tools from nonlinear dynamics to the detailed analysis of cold atom experiments. A powerful example is provided by the recent concept of basin entropy which allows to quantify the final state unpredictability that results from the complexity of the phase space geometry. We show here that this enables one to reliably infer the presence of fractal structures in phase space from direct measurements. We illustrate the method with numerical simulations in an experimental configuration made of two crossing laser guides that can be used as a matter wave splitter.
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- Equilibrium points and basins of convergence in the triangular restricted four-body problem with a radiating body
- Orbital dynamics in the photogravitational restricted four-body problem: Lagrange configuration
- Unpredictable basin boundaries in restricted six-body problem with square configuration
- Basins of Attraction: A Dynamical Zoo
- Fractal basins of attraction in a binary quasar model
- Fractal basins of convergence of a seventh-order generalized Hénon-Heiles potential
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