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Chirality quantum phase transition in the Dirac oscillator

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dc.contributor.authorBermúdez Carballo, Alejandro
dc.contributor.authorMartín-Delgado Alcántara, Miguel Ángel
dc.contributor.authorLuis Aina, Alfredo
dc.date.accessioned2023-06-20T10:55:56Z
dc.date.available2023-06-20T10:55:56Z
dc.date.issued2008-06-11
dc.description©2008 The American Physical Society. We acknowledge financial support from Spanish MEC Project No. FIS2006-04885, Project No. CAM-UCM/910758 A.B. and M.A.M.D. and UCM Project No. PR1-A/07-15378 A.L. Additionally, we acknowledge support from a FPU MEC grant A.B., and ESF Science Programme No. INSTANS 2005–2010 M.A.M.D.
dc.description.abstractWe 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.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación y Ciencia (MEC)
dc.description.sponsorshipUniversidad Complutense de Madrid (UCM)
dc.description.sponsorshipPrograma de Formación del Profesorado Universitario (FPU)
dc.description.sponsorshipEuropean Science Foundation (ESF) Science Programme
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/31070
dc.identifier.doi10.1103/PhysRevA.77.063815
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.77.063815
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51471
dc.issue.number6
dc.journal.titlePhysical review A
dc.language.isoeng
dc.page.final063815_13
dc.page.initial063815_1
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.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordSu(1
dc.subject.keyword1) coherent states
dc.subject.keywordNonclassical properties
dc.subject.keywordEntanglement
dc.subject.keywordDynamics
dc.subject.keywordIons
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleChirality quantum phase transition in the Dirac oscillator
dc.typejournal article
dc.volume.number77
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