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Physics Letters A

On a solution to the single-mode model of superradiance

Karl E. Lonngren

Published Sep 1, 1976• 0 citations
Publisher
DOI
10.1016/0375-9601(76)90238-3

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We use a perturbative approach to analyze the diffusion equation for the atomic quasiprobability function derived by Narducci, Coulter, and Bowden, and demonstrate explicitly that the first-order correction contributes to the atomic moments only to order $\frac{1}{N}$, where $N$ is proportional to the cooperation number.

Physical Review A•Apr 1, 1975•15 citations
Dicke superradiance, a single-mode burst of radiation emitted by an ensemble of two-level atoms, has garnered tremendous attention within the physics community. Its extension to multi-level systems introduces additional degrees of freedom, such as mode-selective control over well-known Dicke superradiant behaviors. However, previous work on the extension to two-mode superradiance in three-level atoms has been largely overlooked for over five decades. In this study, we revisit the two-mode superradiance model for a Λ-type three-level system, where two modes couple to a common excited state and two separate lower levels, offering new insights. For the first time, we obtain exact numerical solutions of the two-mode rate equations for this model. We analyze the temporal evolution of two-mode intensities, superradiance time delays, and quantum noise in the time domain as the number of atoms varies. We believe this work will enable external mode-selective control over superradiance processes—a capability unattainable in the single-mode case.
We use a perturbative approach to analyze the diffusion equation for the atomic quasiprobability function derived by Narducci, Coulter, and Bowden, and demonstrate explicitly that the first-order correction contributes to the atomic moments only to order 1N\frac{1}{N}N1​, where NNN is proportional to the cooperation number.