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Frontiers in Optics

The general solution of cooperative emission in arbitrary dimension

Tyler A. Hill, Barry C. Sanders, Hui Deng

Published Jan 1, 2014• 0 citations
Publisher

Abstract

We study fluorescence of emitters coupled to radiation fields allowing for arbitrary interatomic spacing, dipole orientations, and spatial dimension, including the first study of two dimensions. The asymptotic analysis shows coherence increases with reduced dimension.
DOI
10.1364/fio.2014.fth4c.6

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An array of N closely spaced dipole coupled quantum emitters exhibits super- and subradiance with characteristic tailorable spatial radiation patterns. Optimizing the emitter geometry and distance with respect to the spatial profile of a near resonant optical cavity mode allows us to increase the ratio between light scattering into the cavity mode and free space emission by several orders of magnitude. This leads to distinct scaling of the collective coherent emitter-field coupling vs the free space decay as a function of the emitter number. In particular, for subradiant states, the effective cooperativity increases much faster than the typical linear ∝N scaling for independent emitters. This extraordinary collective enhancement is manifested both in the amplitude and the phase profile of narrow collective antiresonances appearing at the cavity output port in transmission spectroscopy.