Possibility of superradiant phase transitions in coupled two-level atoms
arXiv:2108.08973 · doi:10.1016/j.physleta.2012.04.053
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.
4pages,3 figures
References in corpus (9)
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Quantum phase transitions of light
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
- Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
- Input-output theory of cavities in the ultra-strong coupling regime: the case of a time-independent vacuum Rabi frequency
- Accurate numerical solution to the finite-size Dicke model
- Exotic quantum phase transitions in a Bose-Einstein condensate coupled to an optical cavity