Dispersive Regimes of the Dicke Model

Abstract We study two dispersive regimes of the Dicke model in the dynamics of N two-level atoms interacting with a bosonic mode for long interaction times. Firstly, we analyze the model for the regime in which the qubit frequencies are equal and smaller than the mode frequency, and for values of th...

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Autores principales: Diego Barberena, Lucas Lamata, Enrique Solano
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Lenguaje:EN
Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/d6aa9a5010f74b12bf5bfcd1eea8ea9e
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spelling oai:doaj.org-article:d6aa9a5010f74b12bf5bfcd1eea8ea9e2021-12-02T12:31:47ZDispersive Regimes of the Dicke Model10.1038/s41598-017-09110-72045-2322https://doaj.org/article/d6aa9a5010f74b12bf5bfcd1eea8ea9e2017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-09110-7https://doaj.org/toc/2045-2322Abstract We study two dispersive regimes of the Dicke model in the dynamics of N two-level atoms interacting with a bosonic mode for long interaction times. Firstly, we analyze the model for the regime in which the qubit frequencies are equal and smaller than the mode frequency, and for values of the coupling strength similar or larger than the mode frequency, namely, the deep strong coupling regime. Secondly, we address an interaction that is dependent on the photon number, where the coupling strength is comparable to the geometric mean of the qubit and mode frequencies. We show that the associated dynamics is analytically tractable and provide useful frameworks with which to analyze the system behavior. In the deep strong coupling regime, we unveil the structure of unexpected resonances for specific values of the coupling, present for N ≥ 2, and in the photon-number-dependent regime we demonstrate that all the nontrivial dynamical behavior occurs in the atomic degrees of freedom for a given Fock state. We verify these assertions with numerical simulations of the qubit population and photon-statistic dynamics.Diego BarberenaLucas LamataEnrique SolanoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Diego Barberena
Lucas Lamata
Enrique Solano
Dispersive Regimes of the Dicke Model
description Abstract We study two dispersive regimes of the Dicke model in the dynamics of N two-level atoms interacting with a bosonic mode for long interaction times. Firstly, we analyze the model for the regime in which the qubit frequencies are equal and smaller than the mode frequency, and for values of the coupling strength similar or larger than the mode frequency, namely, the deep strong coupling regime. Secondly, we address an interaction that is dependent on the photon number, where the coupling strength is comparable to the geometric mean of the qubit and mode frequencies. We show that the associated dynamics is analytically tractable and provide useful frameworks with which to analyze the system behavior. In the deep strong coupling regime, we unveil the structure of unexpected resonances for specific values of the coupling, present for N ≥ 2, and in the photon-number-dependent regime we demonstrate that all the nontrivial dynamical behavior occurs in the atomic degrees of freedom for a given Fock state. We verify these assertions with numerical simulations of the qubit population and photon-statistic dynamics.
format article
author Diego Barberena
Lucas Lamata
Enrique Solano
author_facet Diego Barberena
Lucas Lamata
Enrique Solano
author_sort Diego Barberena
title Dispersive Regimes of the Dicke Model
title_short Dispersive Regimes of the Dicke Model
title_full Dispersive Regimes of the Dicke Model
title_fullStr Dispersive Regimes of the Dicke Model
title_full_unstemmed Dispersive Regimes of the Dicke Model
title_sort dispersive regimes of the dicke model
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/d6aa9a5010f74b12bf5bfcd1eea8ea9e
work_keys_str_mv AT diegobarberena dispersiveregimesofthedickemodel
AT lucaslamata dispersiveregimesofthedickemodel
AT enriquesolano dispersiveregimesofthedickemodel
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