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Open AccessArticle

Exact Evaluation of Statistical Moments in Superradiant Emission

Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP), Universidade de São Paulo (USP), Avenida Bandeirantes 3900, 14040-901 Ribeirão Preto, São Paulo, Brazil
Instituto de Física Teórica, Universidade Estadual Paulista (UNESP), Rua Dr. Bento Teobaldo Ferraz 271, 01140-070 São Paulo, Brazil
Instituto Nacional de Ciência e Technologia de Sistemas Complexos (INCT-SC), Rua Dr. Xavier Sigaud 150, Urca, 22290-180 Rio de Janeiro, Brazil
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2019, 24(2), 66;
Received: 30 April 2019 / Revised: 17 June 2019 / Accepted: 19 June 2019 / Published: 23 June 2019
(This article belongs to the Special Issue Dynamics Days Latin America and the Caribbean 2018)
Superradiance describes the coherent collective radiation caused by the interaction between many emitters, mediated by a shared electromagnetic field. Recent experiments involving Bose–Einstein condensates coupled to high-finesse cavities and interacting quantum dots in condensed-matter have attracted attention to the superradiant regime as a fundamental step to create quantum technologies. Here, we consider a simplified description of superradiance that allows the evaluation of statistical moments. A correspondence with the classical birthday problem recovers the statistical moments for discrete time and an arbitrary number of emitters. In addition, the correspondence provides a way to calculate the degeneracy of the problem. View Full-Text
Keywords: stochastic processes; complex systems; self-organization; Dicke model; birthday problem stochastic processes; complex systems; self-organization; Dicke model; birthday problem
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Nakamura, G.M.; Cabella, B.; Martinez, A.S. Exact Evaluation of Statistical Moments in Superradiant Emission. Math. Comput. Appl. 2019, 24, 66.

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