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• W2056525354 abstract "We study a charged Dirac oscillator on a noncommutative plane coupling to a uniform perpendicular magnetic field. We find that there is an exact map from this model onto a quantum optics model which contains both Anti-Jaynes–Cummings (AJC) and Jaynes–Cummings (JC) interactions simultaneously. And these two interactions compete each other when the dimensionless parameter κ changes. Furthermore, this model behaves as a quantum phase transition when κ crosses the critical point. However, different from the non-relativistic charged particles coupling to a uniform perpendicular with a harmonic oscillator potential on the noncommutative plane, we find that the critical point of this model is shifted from κ=0. And it also deviates from the critical point of its commutative counterpart because of spatial noncommutativity. Therefore, it may afford a method to detect the spatial noncommutativity experimentally. Finally, we investigate several characteristics of quantum phase transition." @default.
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• W2056525354 date "2015-03-01" @default.
• W2056525354 modified "2023-10-10" @default.
• W2056525354 title "Noncommutative <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si12.gif display=inline overflow=scroll><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math> dimensional Dirac oscillator and quantum phase transition" @default.
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• W2056525354 doi "https://doi.org/10.1016/j.aop.2014.12.002" @default.
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