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Quantum accelerator modes from the Farey tree.

Buchleitner, A. and d'Arcy, M. B. and Fishman, S. and Gardiner, S. A. and Guarneri, I. and Ma, Z. -Y. and Rebuzzini, L. and Summy, G. S. (2006) 'Quantum accelerator modes from the Farey tree.', Physical review letters., 96 (16). p. 164101.

Abstract

We show that mode locking finds a purely quantum nondissipative 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.

Item Type:Article
Full text:PDF - Published Version (210Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1103/PhysRevLett.96.164101
Publisher statement:© 2006 by The American Physical Society. All rights reserved.
Record Created:19 Mar 2007
Last Modified:17 Aug 2011 09:25

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