Stable Quantum Resonances in Atom Optics

Details Stable Quantum Resonances in Atom Optics Stable Quantum Resonances in Atom Optics

2002-05-02

arxiv.org/abs/nlin/0205006v1

Nonlinear Sciences

Chaotic Dynamics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.89.084101

A theory for stabilization of quantum resonances by a mechanism similar to one leading to classical resonances in nonlinear systems is presented. It explains recent surprising experimental results, obtained for cold Cesium atoms when driven in the presence of gravity, and leads to further predictions. The theory makes use of invariance properties of the system, that are similar to those of solids, allowing for separation into independent kicked rotor problems. The analysis relies on a fictitious classical limit where the small parameter is {\em not} Planck's constant, but rather the detuning from the frequency that is resonant in absence of gravity.

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