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Theory of 2 δ-kicked quantum rotors

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dc.contributor.authorCreffield, Charles
dc.contributor.authorFishman, S.
dc.contributor.authorMonteiro, T. S.
dc.date.accessioned2023-06-20T11:00:14Z
dc.date.available2023-06-20T11:00:14Z
dc.date.issued2006-06
dc.description©2006 The American Physical Society. We are grateful to Phil Jones for the use of the experimental data in Fig. 1. C.E.C. and T.S.M. acknowledge support from the Engineering and Physical Sciences Research Council. We acknowledge the hospitality of the organizers of the workshop on “Resonances and Periodic Orbits: Spectrum and Zeta Functions in Quantum and Classical Chaos” at Institut Henri Poincaré, Paris, in 2005. S.F. would like to thank Richard Prange and Edward Ott for the hospitality at the University of Maryland, where the work was completed.
dc.description.abstractWe examine the quantum dynamics of cold atoms subjected to pairs of closely spaced kicks from standing waves of light and find behavior quite unlike the well-studied quantum kicked rotor QKR. We show that the quantum phase space has a periodic, cellular structure arising from a unitary matrix with oscillating bandwidth. The corresponding eigenstates are exponentially localized, but scale with a fractional power L~ħ_(-0.75), in contrast to the QKR for which L~ħ_(-1). The effect of intercell (and intracell) transport is investigated by studying the spectral fluctuations with both periodic as well as “open” boundary conditions.
dc.description.departmentDepto. de Física de Materiales
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipEngineering and Physical Sciences Research Council (EPSRC) (UK)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/33557
dc.identifier.doi10.1103/PhysRevE.73.066202
dc.identifier.issn1539-3755
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevE.73.066202
dc.identifier.relatedurlhttp://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51582
dc.issue.number6
dc.journal.titlePhysical review E
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.rights.accessRightsopen access
dc.subject.cdu538.9
dc.subject.keywordDelta-kicked rotor
dc.subject.keywordSpectral statistics
dc.subject.keywordDisordered-systems
dc.subject.keywordChaotic systems
dc.subject.keywordEigenfunctions
dc.subject.keywordTransition
dc.subject.keywordDynamics
dc.subject.keywordBarriers
dc.subject.keywordCantori
dc.subject.keywordModels
dc.subject.ucmFísica de materiales
dc.subject.ucmFísica del estado sólido
dc.subject.unesco2211 Física del Estado Sólido
dc.titleTheory of 2 δ-kicked quantum rotors
dc.typejournal article
dc.volume.number73
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