Radiation Eigenmodes of Dicke Superradiance

Abstract

We calculate the field eigenmodes of the superradiant emission from an ensemble of $N$ two-level atoms. While numerical techniques are effective due to the symmetry of the problem, we develop also an analytical method to approximates the modes in the limit of a large number of emitters. We find that Dicke superradiant emission is restricted to a small number of modes, with a little over 90\% of the photons emitted in a single dominant mode.

References in corpus (3)

• Cavity-Modified Collective Rayleigh Scattering of Two Atoms
• Resilient Quantum Computation in Correlated Environments: A Quantum Phase Transition Perspective
• Multimode Fock states with large photon number: effective descriptions and applications in quantum metrology

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• Collective excitation and decay of waveguide-coupled atoms: from timed Dicke states to inverted ensembles
• Dicke superradiance requires interactions beyond nearest-neighbors
• Large-N limit of spontaneous superradiance
• Collective bosonic effects in an array of transmon devices
• Solving Dicke superradiance analytically: A compendium of methods
• An exact analytical solution for Dicke superradiance
• The quantum state of light in collective spontaneous emission