Possibility of superradiant phase  transitions in coupled two-level atoms

Tao Liu; Yu-Yu Zhang; Qing-Hu Chen; Ke-Lin Wang

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Possibility of superradiant phase transitions in coupled two-level atoms

Tao Liu 1,Yu-Yu Zhang 2,Qing-Hu Chen 3,Ke-Lin Wang 4

1.Department of Physics, Chongqing University, Chongqing 400044;Department of Physics, Southwest University of Science and Technology, Mianyang 621010

2.Department of Physics, Chongqing University, Chongqing 400044

3.Department of Physics, Zhejiang University, Hangzhou 310027

4.Department of Modern Physics, University of Science and Technology of China, Hefei 230026

*Correspondence author

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Funding: Research Fund for theDoctoral Program of Higher Education of China （No.20110191120046）

Opened online:17 October 2014

Accepted by: none

Citation: Tao Liu,Yu-Yu Zhang,Qing-Hu Chen.Possibility of superradiant phase transitions in coupled two-level atoms[OL]. [17 October 2014] http://en.paper.edu.cn/en_releasepaper/content/4612964

Although the oscillator strength sum rule forbids the phase transition in ideal non-interacting two-level atoms systems, we present the possibility of the quantum phase transition in the coupled two-level atoms in a cavity. The system undergoes the superradiant phase transition in the thermodynamics limit and this transition is account for the atom-atom attractive interaction, exhibiting a violation of the sum rule. The bosonic coherent state technique has been adopted to locate the quantum critical point accurately in the finite-size system. We predict the existence of the superadiant phase transition as the number of atoms increases, satisfying all the constraints imposed by the sum rule.

Keywords:coupled atom, Dicke, sum rule, superradiant phase

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