Nonrelativistic limit in the 2+1 Dirac oscillator: a Ramsey-interferometry effect

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dc.contributor.authorBermúdez Carballo, Alejandro
dc.contributor.authorMartín-Delgado Alcántara, Miguel Ángel
dc.contributor.authorLuis Aina, Alfredo
dc.date.accessioned2023-06-20T10:56:32Z
dc.date.available2023-06-20T10:56:32Z
dc.date.issued2008-03-18
dc.description©2008 The American Physical Society. We acknowledge financial support from the Spanish MEC project No. FIS2006-04885, the project No. CAM-UCM/910758 (A.B. and M.A.M.D.) and the UCM project No. PR1-A/07-15378 (A.L.). Additionally, we acknowledge support from a FPU MEC grant (A.B.), and the ESF Science Programme INSTANS 2005-2010 (M.A.M.D.).
dc.description.abstractWe study the nonrelativistic limit of a paradigmatic model in relativistic quantum mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a different kind of Zitterbewegung which persists in this nonrelativistic regime, and leads to an observable deformation of the particle orbit. This effect can be interpreted in terms of a Ramsey-interferometric phenomenon, allowing an insightful connection between relativistic quantum mechanics and quantum optics. Furthermore, subsequent corrections to the nonrelativistic limit, which account for the usual spin-orbit Zitterbewegung, can be neatly understood in terms of a Mach-Zehnder interferometer.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación y Ciencia (MEC), España
dc.description.sponsorshipUniversidad Complutense de Madrid (UCM)
dc.description.sponsorshipComunidad de Madrid (CAM)
dc.description.sponsorshipEuropean Science Foundation (ESF)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/31328
dc.identifier.doi10.1103/PhysRevA.77.033832
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.77.033832
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51487
dc.issue.number3
dc.journal.titlePhysical review A
dc.language.isoeng
dc.page.final1
dc.page.initial033832
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2006-04885
dc.relation.projectIDCAM-UCM/910758
dc.relation.projectIDPR1-A/07-15378
dc.relation.projectIDINSTANS 2005-2010
dc.relation.projectIDAyuda para contratos predoctorales de Formación del Profesorado Universitario (FPU)
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordJaynes-cummings model
dc.subject.keywordSpin-orbit pendulum
dc.subject.keywordQuantum
dc.subject.keywordDynamics
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleNonrelativistic limit in the 2+1 Dirac oscillator: a Ramsey-interferometry effect
dc.typejournal article
dc.volume.number77
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