A Theory for Quantum Accelerator Modes in Atom Optics
Chaotic Dynamics
2007-05-23 v1 Statistical Mechanics
Quantum Physics
Abstract
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.
Cite
@article{arxiv.nlin/0202047,
title = {A Theory for Quantum Accelerator Modes in Atom Optics},
author = {Shmuel Fishman and Italo Guarneri and Laura Rebuzzini},
journal= {arXiv preprint arXiv:nlin/0202047},
year = {2007}
}
Comments
26 pages, 9 figures