Possibility of superradiant phase transitions in coupled two-level atoms

Abstract

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.

arXiv comment4pages,3 figures

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• Superradiant phase transitions in the quantum Rabi model: Overcoming the no-go theorem through anisotropy
• Superradiance of a subwavelength array of independent classical nonlinear emitters
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