A Theory for Quantum Accelerator Modes in Atom Optics

Details A Theory for Quantum Accelerator Modes in Atom Optics A Theory for Quantum Accelerator Modes in Atom Optics

2002-02-22

arxiv.org/abs/nlin/0202047v1

Nonlinear Sciences

Chaotic Dynamics

26 pages, 9 figures

Scientific paper

Unexpected accelerator modes were recently observed experimentally for cold cesium atoms when driven in the presence of gravity. A detailed theoretical explanation of this quantum effect is presented here. The theory makes use of invariance properties of the system, that are similar to the ones of solids, leading to a separation into independent kicked rotor problems. The analytical solution makes use of a limit that is very similar to the semiclassical limit, but with a small parameter that is not Planck's constant, but rather the detuning from the frequency that is resonant in absence of gravity.

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