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Bulletin of the American Physical Society

Drive-enhanced Superradiance in Circuit QED

Catherine Leroux, Luke C. G. Govia, Aashish A. Clerk

Published Mar 6, 2018• 0 citations
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Reply to Comment on "Superradiant Phase Transitions and the Standard Description of Circuit QED"

Oliver Viehmann, Jan von Delft, Florian Marquardt

A Reply to the Comment by C. Ciuti and P. Nataf [arXiv:1112.0986v1] on our Letter "Superradiant Phase Transitions and the Standard Description of Circuit QED" [Phys. Rev. Lett. 107, 113602 (2011)].

arXiv:1202.2916•Feb 14, 2012•3 citations
Superradiance, the enhanced collective emission of light from a coherent ensemble of quantum systems, has been typically studied in atomic ensembles. In this work we study the enhanced emission of energy from coherent ensembles of harmonic oscillators. We show that it should be possible to observe harmonic oscillator superradiance in a variety of physical platforms such as waveguide arrays in integrated photonics and resonator arrays in circuit QED. We find general conditions specifying when emission is superradiant and subradiant and find that superradiant, subradiant and dark states take the form of multimode squeezed coherent states and highly entangled multimode Fock states. The intensity, two-mode correlations and fraction of quanta trapped in the system after decay are calculated for a range of initial states including multimode Fock, squeezed, coherent and thermal states. In order to explore these effects, the Law and Eberly protocol [C. K. Law and J. H. Eberly, Phys. Rev. Lett. 76, 1055 (1996)] is generalized to prepare highly entangled multimode Fock states in circuit QED.
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.