Cooperative spontaneous emission via a renormalization approach: Classical versus semiclassical effects

Author(s)

Maximo, C. E. ; Bachelard, R. ; dos Santos, F. E. A. ; Villas-Boas, C. J.

• Document type: Journal article
• Source: PHYSICAL REVIEW A; v. 101, n. 2, p. 8-pg., 2020-02-18.

Abstract

Here we propose an analytical solution for semiclassical dynamical equations through a renormalized perturbation theory, applicable to many-body systems. The many-atom emission of a dilute cloud of two-level atoms is addressed as a nontrivial example. We show that, as a result of secular terms elimination, an effective many-body spectrum emerges in the temporal solutions, which depends on initial conditions. It allows us to detect a cooperativity reduction in the semiclassical total power radiated that cannot be described by a classical model from linear optics. The second-order cooperative emission remains accurate over several single-atom lifetimes and for interacting regimes stronger than those permitted in conventional perturbation theory. We can compute the semiclassical dynamics of a few hundred thousand interacting atoms with ordinary computational resources, which makes our formalism particularly promising to probe the nonlinear dynamics of quantum many-body systems that result from cumulant expansions. (AU)

• FAPESP's process: 13/04162-5 - Development of quantum sensors based on ultracold atoms
• Grantee: Philippe Wilhelm Courteille
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 13/07276-1 - CEPOF - Optics and Photonic Research Center
• Grantee: Vanderlei Salvador Bagnato
• Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
• FAPESP's process: 14/01491-0 - Atomic clouds under stress
• Grantee: Romain Pierre Marcel Bachelard
• Support Opportunities: Research Grants - Young Investigators Grants
• FAPESP's process: 18/01447-2 - Correlations of the light scattered by atomic clouds
• Grantee: Romain Pierre Marcel Bachelard
• Support Opportunities: Scholarships abroad - Research
• FAPESP's process: 17/13250-6 - Many-body non-classical signatures in cold atoms fluorescence
• Grantee: Carlos Eduardo Máximo
• Support Opportunities: Scholarships in Brazil - Post-Doctoral