Characterizing superradiant dynamics in atomic arrays via a cumulant expansion approach
arxiv(2022)
摘要
Ordered atomic arrays with subwavelength lattice spacing emit light
collectively. For fully inverted atomic arrays, this results in an initial
burst of radiation and a fast build up of coherences between the atoms at
initial times. Based on a cumulant expansion of the equations of motion, we
derive exact analytical expressions for the emission properties and numerically
analyze the full many-body problem resulting in the collective decay process
for unprecedented system sizes of up to a few hundred atoms. We benchmark the
cumulant expansion approach and show that it correctly captures the cooperative
dynamics resulting in superradiance. For fully inverted arrays, this allows us
to extract the scaling of the superradiant peak with particle number. For
partially excited arrays where no coherences are shared among atoms, we also
determine the critical number of excitations required for the emergence of
superradiance in one- and two-dimensional geometries. In addition, we study the
robustness of superradiance in the case of non-unit filling and position
disorder.
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