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Chirality quantum phase transition in the Dirac oscillator

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Bermúdez, A. and Martin-Delgado Alcántara, Miguel Ángel and Luis Aina, Alfredo (2008) Chirality quantum phase transition in the Dirac oscillator. Physical review A, 77 (6). 063815_1-063815_13. ISSN 1050-2947

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Official URL: http://dx.doi.org/10.1103/PhysRevA.77.063815


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Abstract

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.


Item Type:Article
Additional Information:

©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.

Uncontrolled Keywords:Su(1,1) coherent states; Nonclassical properties; Entanglement; Dynamics; Ions
Subjects:Sciences > Physics > Optics
ID Code:31070
Deposited On:02 Jul 2015 14:15
Last Modified:23 Apr 2018 14:33

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