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

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• 作者：Yu-Long Hou (1)
  Qing Wang (2)
  Zheng-Wen Long (3)
  Jian Jing (1)
  
  1. Department of Physics and Electronic ; School of Science ; Beijing University of Chemical Technology ; Beijing ; 100029 ; People鈥檚 Republic of China
  2. College of Physics Science and Technology ; Xinjiang University ; Urumqi ; 830046 ; People鈥檚 Republic of China
  3. Laboratory for photoelectric technology and application ; Department of Physics ; GuiZhou University ; GuiYang ; 550025 ; People鈥檚 Republic of China
  
• 关键词：Dirac oscillator ; Quantum optics ; Jaynes ; Cummings interaction ; Anti ; Jaynes ; Cummings interaction
• 刊名：International Journal of Theoretical Physics
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：54
• 期：5
• 页码：1506-1514
• 全文大小：485 KB
• 参考文献：1. Ito, D, Mori, K, Carriere, E (1967) Nuovo Cimento A 51: pp. 1119 CrossRef
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  15. Hou, Y. L., Yuan, Z. G., Wang, Q., Long, Z. W., Jing, J.: Int. J. Theor. Phys. doi: 10.1007/s10773-014-2132-7 (2014)
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  17. Hou, Y. L., et al.: working in progress
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

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.