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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0205006 (nlin)
[Submitted on 2 May 2002]

Title:Stable Quantum Resonances in Atom Optics

Authors:Shmuel Fishman, Italo Guarneri, Laura Rebuzzini
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Abstract: 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.
Comments: 5 pages, 3 figures
Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:nlin/0205006 [nlin.CD]
  (or arXiv:nlin/0205006v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0205006
Related DOI: https://doi.org/10.1103/PhysRevLett.89.084101

Submission history

From: Laura Francesca Rebuzzini [view email]
[v1] Thu, 2 May 2002 13:26:55 UTC (131 KB)
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