Theoretical study of early time superradiance for atom clouds and arrays

Abstract

We explore conditions for Dicke superradiance in a cloud of atoms by examining the Taylor series expansion of the photon emission rate at $t=0$. By defining superradiance as an increasing photon emission rate for $t\sim 0$, we have calculated the conditions for superradiance for a variety of cases. We investigate superradiance as defined for photon emission into all angles as well as directional superradiance where the photon emission is only detected in a particular direction. Although all of the examples are for two level atoms that are fully inverted at $t=0$, we also give equations for partially inverted two level atoms and for fully inverted multilevel atoms. We give an algorithm for efficiently evaluating these equations for atom arrays and determine superradiance conditions for large atom number.

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Cited by in corpus (28)

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• Superradiance and subradiance in inverted atomic arrays
• Dicke superradiance in ordered arrays of multilevel atoms
• Collective excitation and decay of waveguide-coupled atoms: from timed Dicke states to inverted ensembles
• Collective Radiative Interactions in the Discrete Truncated Wigner Approximation
• Dicke superradiance requires interactions beyond nearest-neighbors
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• Cooperative subwavelength molecular quantum emitter arrays
• Quantum computing with subwavelength atomic arrays
• Intensity effects of light coupling to one- or two-atom arrays of infinite extent
• Symmetry based efficient simulation of dissipative quantum many-body dynamics in subwavelength quantum emitter arrays
• Superradiant phase transition in a large interacting driven atomic ensemble in free space
• Influence of initial states on memory effects: A study of early-time superradiance
• Many-Body Entanglement in Solid-State Emitters
• Attaining near-ideal Dicke superradiance in expanded spatial domains
• Spatial averaging for light reflection and transmission through cold atom arrays
• Deterministic steady-state subradiance within a single-excitation basis
• Phase-Space Methods for Many-Body Quantum Optics
• Stability of macroscopic spin ensembles against inhomogeneous dephasing
• A numerical study of the spatial coherence of light in collective spontaneous emission
• Emission photon statistics in collectively interacting dipole atom arrays in the low-intensity limit
• Exact Many-body Quantum Dynamics in One-Dimensional Baths via Collective Spins
• Directional quantum scattering transducer in cooperative Rydberg metasurfaces
• Experimental observation of subabsorption