Chaos and the quantum phase transition in the Dicke model.

@article{Emary2003ChaosAT,
  title={Chaos and the quantum phase transition in the Dicke model.},
  author={Clive Emary and Tobias Brandes},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={67 6 Pt 2},
  pages={066203}
}
We investigate the quantum-chaotic properties of the Dicke Hamiltonian; a quantum-optical model that describes a single-mode bosonic field interacting with an ensemble of N two-level atoms. This model exhibits a zero-temperature quantum phase transition in the N --> infinity limit, which we describe exactly in an effective Hamiltonian approach. We then numerically investigate the system at finite N, and by analyzing the level statistics, we demonstrate that the system undergoes a transition… CONTINUE READING

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