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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.

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Authors

A. Buchleitner

M.B. d'Arcy

S. Fishman

I. Guarneri

Z. -Y. Ma

L. Rebuzzini

G.S. Summy



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.

Citation

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), https://doi.org/10.1103/physrevlett.96.164101

Journal Article Type Article
Publication Date 2006-04
Deposit Date Mar 19, 2007
Publicly Available Date Mar 28, 2024
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 96
Issue 16
DOI https://doi.org/10.1103/physrevlett.96.164101

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





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