Quantum Accelerator Modes from the Farey Tree

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dc.creatorBuchleitner, A.
dc.creatord'Arcy, M. B.
dc.creatorFishman, S.
dc.creatorGardiner, S. A.
dc.creatorGuarneri, I.
dc.creatorMa, Z. -Y.
dc.creatorRebuzzini, L.
dc.creatorSummy, G. S.
dc.date2005-01-27
dc.date2006-06-09
dc.date.accessioned2026-07-07T06:40:32Z
dc.date.available2026-07-07T06:40:32Z
dc.descriptionWe 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.
dc.descriptionFinal published version
dc.identifierhttps://arxiv.org/abs/physics/0501146
dc.identifierhttp://arxiv.org/abs/physics/0501146
dc.identifierPhys. Rev. Lett. 96, 164101 (2006)
dc.identifierdoi:10.1103/PhysRevLett.96.164101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101417
dc.subjectAtomic Physics
dc.subjectChaotic Dynamics
dc.titleQuantum Accelerator Modes from the Farey Tree
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