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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.


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
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Publisher statement:© 2006 by The American Physical Society. All rights reserved.
Date accepted:No date available
Date deposited:01 July 2010
Date of first online publication:April 2006
Date first made open access:No date available

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