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Photonic bands and normal mode splitting in optical lattices interacting with cavities

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Author(s):
Courteille, Ph. W. ; Rivero, D. ; de Franca, G. H. ; Pessoa Jr, C. A. ; Cipris, A. ; Portela, M. Nunez ; Teixeira, R. C. ; Slama, S.
Total Authors: 8
Document type: Journal article
Source: PHYSICAL REVIEW A; v. 111, n. 1, p. 18-pg., 2025-01-17.
Abstract

The strong collective interaction of atoms with an optical cavity causes normal mode splitting of the cavity's resonances, whose width is given by the collective coupling strength. At low optical density of the atomic cloud, the intensity distribution of light in the cavity is ruled by the cavity's mode function, which is determined solely by its geometry. In this regime the dynamics of the coupled atom-cavity system is conveniently described by the open Dicke model, which we apply to calculating normal mode splitting generated by periodically ordered clouds in linear and ring cavities. We also show how to use normal mode splitting as a witness for Wannier-Bloch oscillations in the tight-binding limit. At high optical density the atomic distribution contributes to shaping the mode function. This regime escapes the open Dicke model, but can be treated by a transfer matrix model provided the saturation parameter is low. Applying this latter model to an atomic cloud periodically ordered into a one-dimensional lattice, we observe the formation of photonic bands gaps competing with the normal mode splitting. We discuss the limitations of both models and point out possible pathways to generalized theories. (AU)

FAPESP's process: 18/23873-3 - Coherent transport of light in dense atomic clouds
Grantee:Raul Celistrino Teixeira
Support Opportunities: Research Grants - Young Investigators Grants
FAPESP's process: 23/10014-0 - Collective atom-light interaction, bistability and quantum correlations mediated by an optical cavity
Grantee:Gustavo Henrique de França
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
FAPESP's process: 19/13143-0 - Cold atoms, photons, and quantum correlations
Grantee:Celso Jorge Villas-Bôas
Support Opportunities: Regular Research Grants
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: 23/16523-4 - Cold Atoms in Ring Cavities
Grantee:Yajaira Dalila Rivero Jerez
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 24/03884-1 - Absorption of correlated photons by dense and cold atomic clouds
Grantee:Philippe Wilhelm Courteille
Support Opportunities: Research Grants - Visiting Researcher Grant - International
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: 22/00261-8 - Self-organization and superradiance in an atomic cloud interacting with an optical cavity
Grantee:Philippe Wilhelm Courteille
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 23/00866-0 - Light scattering by dense atomic samples: temporal properties of the light emission in the linear and saturated regimes
Grantee:Ana Cipris
Support Opportunities: Scholarships in Brazil - Post-Doctoral