Skip to main content

Research Repository

Advanced Search

Quantum Accelerator Modes from the Farey Tree

Buchleitner, A.; d'Arcy, M.B.; Fishman, S.; Gardiner, S.A.; Guarneri, I.; Ma, Z. -Y.; Rebuzzini, L.; Summy, G.S.

Quantum Accelerator Modes from the Farey Tree Thumbnail


A. Buchleitner

M.B. d'Arcy

S. Fishman

I. Guarneri

Z. -Y. Ma

L. Rebuzzini

G.S. Summy


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.


Buchleitner, A., d'Arcy, M., Fishman, S., Gardiner, S., Guarneri, I., Ma, Z. -., …Summy, G. (2006). Quantum Accelerator Modes from the Farey Tree. Physical Review Letters, 96(16),

Journal Article Type Article
Publication Date 2006-04
Deposit Date Mar 19, 2007
Publicly Available Date Jul 1, 2010
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 96
Issue 16


Published Journal Article (215 Kb)

Copyright Statement
© 2006 by The American Physical Society. All rights reserved.

You might also like

Downloadable Citations