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

We 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...

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Detalles Bibliográficos
Autores: Bermúdez Carballo, Alejandro, Martín-Delgado Alcántara, Miguel Ángel, Luis Aina, Alfredo
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51487
Acceso en línea:https://hdl.handle.net/20.500.14352/51487
Access Level:acceso abierto
Palabra clave:535
Jaynes-cummings model
Spin-orbit pendulum
Quantum
Dynamics
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario:We 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.