An Alternative Map from a 2 + 1 Dimensional Charged Dirac Oscillator in the Background of a Uniform Perpendicular Magnetic Field to a Quantum Optics Model

• DOI: 10.1007/s10773-014-2347-7
• Publication Date: 2014-09-29T11:29:30Z
• Authors: Yu-Long Hou; Qing Wang; Zheng-Wen Long; Jian Jing
• Keywords: 0103 physical sciences; 01 natural sciences

We propose an alternative map from the the 2-dimensional charged Dirac oscillator in the background of a uniform perpendicular magnetic field onto a quantum optics model which contains both Jaynes-Cummings (JC) and Anti-Jaynes-Cummings (AJC) interactions. Different from previous work, we only introduce one kind of phonons and realize a symmetrical competition which is controlled by the magnetic field. Furthermore, we find that this model behaves as a quantum phase transition when a dimensionless parameter crosses its critical value. Several characteristics of quantum phase transition are exhibited explicitly.