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Chirality Quantum Phase Transition in Noncommutative Dirac Oscillator |
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| Authors: | WANG Shao-Hua HOU Yu-Long WANG Qing LONG Zheng-Wen JING Jian |
| Affiliation: | 1. Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China;2. Department of Physics and Electronic, School of Science, Beijing University of Chemical Technology, Beijing 100029, China;3. College of Physics Science and Technology, Xinjiang University, Urumqi 830046, China;4. Laboratory for Photoelectric Technology and Application, Department of Physics, Guizhou University, Guiyang 550025, China |
| Abstract: | The charged Dirac oscillator on a noncommutative plane coupling to a uniform perpendicular magnetic field is studied in this paper. We map the noncommutative plane to a commutative one by means of Bopp shift and study this problem on the commutative plane. We find that this model can be mapped onto a quantum optics model which contains Anti-Jaynes-Cummings (AJC) or Jaynes-Cummings (JC) interactions when a dimensionless parameter ζ (which is the function of the intensity of the magnetic field) takes values in different regimes. Furthermore, this model behaves as experiencing a chirality quantum phase transition when the dimensionless parameter ζ approaches the critical point. Several evidences of the chirality quantum phase transition are presented. We also study the non-relativistic limit of this model and find that a similar chirality quantum phase transition takes place in its non-relativistic limit. |
| Keywords: | Anti-Jaynes-Cummings interaction Jaynes-Cummings interaction Chirality quantum phase transition |
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