Chirality quantum phase transition in the Dirac oscillator

We study a relativistic spin-1/2 fermion subjected to a Dirac oscillator coupling and a constant magnetic field. An interplay between opposed chirality interactions culminates in the appearance of a relativistic quantum phase transition, which can be fully characterized. We obtain analytical express...

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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:20.500.14352/51471
Acceso en línea:https://hdl.handle.net/20.500.14352/51471
Access Level:acceso abierto
Palabra clave:535
Su(1
1) coherent states
Nonclassical properties
Entanglement
Dynamics
Ions
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario:We study a relativistic spin-1/2 fermion subjected to a Dirac oscillator coupling and a constant magnetic field. An interplay between opposed chirality interactions culminates in the appearance of a relativistic quantum phase transition, which can be fully characterized. We obtain analytical expressions for the energy gap, order parameter, and canonical quantum fluctuations across the critical point. Moreover, we also discuss the effect of this phase transition on the statistics of the chiral bosonic ensemble, where its super-or sub-Poissonian nature can be controlled by means of external parameters. Finally, we study the entanglement properties between the degrees of freedom in the relativistic ground state, where an interesting transition between a biseparable and a genuinely tripartite entangled state occurs.