On the Chirality Quantum Phase Transition of the Dirac Oscillator

Dirac oscillator subjects to an external magnetic field is re-examined. We show that this model can be mapped onto different quantum optics models if one insists to introduce two kinds of phonons which associate with the excitations of Dirac oscillator and magnetic field respectively. The conclusion...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 53; no. 11; pp. 3787 - 3793
Main Authors Hou, Yu-Long, Yuan, Zi-Gang, Kong, Ling-Bao, Long, Zheng-Wen, Jing, Jian
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.11.2014
Subjects
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
Quantum Optics models
Dirac oscillator
Quantum phase transition
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Summary:Dirac oscillator subjects to an external magnetic field is re-examined. We show that this model can be mapped onto different quantum optics models if one insists to introduce two kinds of phonons which associate with the excitations of Dirac oscillator and magnetic field respectively. The conclusion about chirality quantum phase transition in the paper “Chirality quantum phase transition in the Dirac oscillator” (Bermudez et al. Phys. Rev. A, 77 , 063815 2008 ) is only valid for a specific mapped quantum optics models rather than the Dirac oscillator itself. Thus, the conclusions about chirality quantum phase transitions in this paper are not universal.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-014-2132-7