A. Buchleitner
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.
Authors
M.B. d'Arcy
S. Fishman
Professor Simon Gardiner s.a.gardiner@durham.ac.uk
Professor
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 | 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 |
DOI | https://doi.org/10.1103/physrevlett.96.164101 |
Public URL | https://durham-repository.worktribe.com/output/1615927 |
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Copyright Statement
© 2006 by The American Physical Society. All rights reserved.
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