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

Fuente: arXiv
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Main Authors: Courteille, Philippe Wilhelm, Rivero, Dalila, de França, Gustavo Henrique, Junior, Claudio Alves Pessoa, Cipris, Ana, Portela, Mayerlin Núñez, Teixeira, Raul Celistrino, Slama, Sebastian
Format: Preprint
Published: 2024
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_version_ 1866913494469705728
author Courteille, Philippe Wilhelm
Rivero, Dalila
de França, Gustavo Henrique
Junior, Claudio Alves Pessoa
Cipris, Ana
Portela, Mayerlin Núñez
Teixeira, Raul Celistrino
Slama, Sebastian
author_facet Courteille, Philippe Wilhelm
Rivero, Dalila
de França, Gustavo Henrique
Junior, Claudio Alves Pessoa
Cipris, Ana
Portela, Mayerlin Núñez
Teixeira, Raul Celistrino
Slama, Sebastian
contents 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 solely determined 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 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_06042
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Photonic bands and normal mode splitting in optical lattices interacting with cavities
Courteille, Philippe Wilhelm
Rivero, Dalila
de França, Gustavo Henrique
Junior, Claudio Alves Pessoa
Cipris, Ana
Portela, Mayerlin Núñez
Teixeira, Raul Celistrino
Slama, Sebastian
Quantum Physics
Atomic Physics
Optics
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 solely determined 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 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.
title Photonic bands and normal mode splitting in optical lattices interacting with cavities
topic Quantum Physics
Atomic Physics
Optics
url https://arxiv.org/abs/2409.06042