Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Cooperative Decay of an Ensemble of Atoms in a One-Dimensional Chain with a Single Excitation

Version 1 : Received: 8 May 2024 / Approved: 8 May 2024 / Online: 8 May 2024 (16:00:37 CEST)

How to cite: Piovella, N. Cooperative Decay of an Ensemble of Atoms in a One-Dimensional Chain with a Single Excitation. Preprints 2024, 2024050511. https://doi.org/10.20944/preprints202405.0511.v1 Piovella, N. Cooperative Decay of an Ensemble of Atoms in a One-Dimensional Chain with a Single Excitation. Preprints 2024, 2024050511. https://doi.org/10.20944/preprints202405.0511.v1

Abstract

We present an analytic calculation of the cooperative decay of a one-dimensional chain of N two-level atoms in the single-excitation configuration. Whereas the subradiant decay is zero for infinite lattices, we prove that for finite lattice the subradiant decay rate decreases as 1/N. We compare the results obtained using the scalar and the vectorial model. The calculations provide simple analytic expressions for the decay rate of the excitation, for arbitrary lattice spacing.

Keywords

Superadiance; subradiance; Cooperative emission

Subject

Physical Sciences, Optics and Photonics

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