RT Journal Article
T1 Chirality quantum phase transition in the Dirac oscillator
A1 Bermúdez Carballo, Alejandro
A1 Martín-Delgado Alcántara, Miguel Ángel
A1 Luis Aina, Alfredo
AB 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.
PB American Physical Society
SN 1050-2947
YR 2008
FD 2008-06-11
LK https://hdl.handle.net/20.500.14352/51471
UL https://hdl.handle.net/20.500.14352/51471
LA eng
NO ©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.
NO Ministerio de Educación y Ciencia (MEC)
NO Universidad Complutense de Madrid (UCM)
NO Programa de Formación del Profesorado Universitario (FPU)
NO European Science Foundation (ESF) Science Programme
DS Docta Complutense
RD 26 sept 2025