Quantum Accelerator Modes from the Farey Tree
Atomic Physics
2007-05-23 v3 Chaotic Dynamics
Abstract
We show that mode-locking finds a purely quantum non-dissipative counterpart in atom-optical quantum accelerator modes. These modes are formed by exposing cold atoms to periodic kicks in the direction of the gravitational field. They are anchored to generalized Arnol'd tongues, parameter regions where driven nonlinear classical systems exhibit mode-locking. A hierarchy for the rational numbers known as the Farey Tree provides an ordering of the Arnol'd tongues and hence of experimentally observed accelerator modes.
Cite
@article{arxiv.physics/0501146,
title = {Quantum Accelerator Modes from the Farey Tree},
author = {A. Buchleitner and M. B. d'Arcy and S. Fishman and S. A. Gardiner and I. Guarneri and Z. -Y. Ma and L. Rebuzzini and G. S. Summy},
journal= {arXiv preprint arXiv:physics/0501146},
year = {2007}
}
Comments
Final published version