dorsal/arxiv
View SchemaQuantum Accelerator Modes from the Farey Tree
| Authors | A. Buchleitner, M. B. d'Arcy, S. Fishman, S. A. Gardiner, I. Guarneri, Z. -Y. Ma, L. Rebuzzini, G. S. Summy |
|---|---|
| Categories | |
| ArXiv ID | physics/0501146 |
| URL | https://arxiv.org/abs/physics/0501146 |
| DOI | 10.1103/PhysRevLett.96.164101 |
| Journal | Phys. Rev. Lett. 96, 164101 (2006) |
Abstract
We show that mode-locking finds a purely quantum non-dissipative 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.
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"abstract": "We show that mode-locking finds a purely quantum non-dissipative counterpart\nin atom-optical quantum accelerator modes. These modes are formed by exposing\ncold atoms to periodic kicks in the direction of the gravitational field. They\nare anchored to generalized Arnol\u0027d tongues, parameter regions where driven\nnonlinear classical systems exhibit mode-locking. A hierarchy for the rational\nnumbers known as the Farey Tree provides an ordering of the Arnol\u0027d tongues and\nhence of experimentally observed accelerator modes.",
"arxiv_id": "physics/0501146",
"authors": [
"A. Buchleitner",
"M. B. d\u0027Arcy",
"S. Fishman",
"S. A. Gardiner",
"I. Guarneri",
"Z. -Y. Ma",
"L. Rebuzzini",
"G. S. Summy"
],
"categories": [
"physics.atom-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.96.164101",
"journal_ref": "Phys. Rev. Lett. 96, 164101 (2006)",
"title": "Quantum Accelerator Modes from the Farey Tree",
"url": "https://arxiv.org/abs/physics/0501146"
},
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