Superradiant Phase Transitions and the Standard Description of Circuit QED

Viehmann, Oliver; von Delft, Jan; Marquardt, Florian

doi:10.1103/PhysRevLett.107.113602

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Superradiant Phase Transitions and the Standard Description of Circuit QED

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Marquardt, Florian
Marquardt Group, Associated Groups, Max Planck Institute for the Science of Light, Max Planck Society;
University of Erlangen Nuremberg, Inst Theoret Phys;

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Citation

Viehmann, O., von Delft, J., & Marquardt, F. (2011). Superradiant Phase Transitions and the Standard Description of Circuit QED. PHYSICAL REVIEW LETTERS, 107(11): 113602. doi:10.1103/PhysRevLett.107.113602.

Cite as: https://hdl.handle.net/21.11116/0000-0001-D787-4

Abstract

We investigate the equilibrium behavior of a superconducting circuit QED system containing a large number of artificial atoms. It is shown that the currently accepted standard description of circuit QED via an effective model fails in an important aspect: it predicts the possibility of a superradiant phase transition, even though a full microscopic treatment reveals that a no-go theorem for such phase transitions known from cavity QED applies to circuit QED systems as well. We generalize the no-go theorem to the case of (artificial) atoms with many energy levels and thus make it more applicable for realistic cavity or circuit QED systems.