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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Detalhes bibliográficos
Autores: Bermúdez Carballo, Alejandro, Martín-Delgado Alcántara, Miguel Ángel, Luis Aina, Alfredo
Tipo de documento: artigo
Data de publicação:2008
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/51471
Acesso em linha:https://hdl.handle.net/20.500.14352/51471
Access Level:Acceso aberto
Palavra-chave:535
Su(1
1) coherent states
Nonclassical properties
Entanglement
Dynamics
Ions
Óptica (Física)
2209.19 Óptica Física
Descrição
Resumo: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.