Validity of the rotating wave approximation in the driven Jaynes-Cummings model

In this paper we define, in the context of dynamical algebras, a set of operators that are suitable for studying any relevant quantity related to the two-level Jaynes-Cummings model (JCM). We study the usual JCM with and without the rotating wave approximation (RWA), and then we add the presence of...

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Publicado: 2004
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14644266_v6_n4_p231_Berlin
http://hdl.handle.net/20.500.12110/paper_14644266_v6_n4_p231_Berlin
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spelling paper:paper_14644266_v6_n4_p231_Berlin2023-06-08T16:16:48Z Validity of the rotating wave approximation in the driven Jaynes-Cummings model Driven Jaynes-Cummings model Rotating wave approximation Algebra Approximation theory Electromagnetic field effects Hamiltonians Mathematical operators Photons Rotation Driven Jaynes-Cummings model Dynamical algebras Relevant quantity Rotating wave approximation Quantum theory In this paper we define, in the context of dynamical algebras, a set of operators that are suitable for studying any relevant quantity related to the two-level Jaynes-Cummings model (JCM). We study the usual JCM with and without the rotating wave approximation (RWA), and then we add the presence of an external field. In this last case we find that in the strong driving regime there are significant differences between the results obtained with the RWA and without it. This holds even for the case in which the usual requirements for applying the RWA without an external driving are fulfilled. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14644266_v6_n4_p231_Berlin http://hdl.handle.net/20.500.12110/paper_14644266_v6_n4_p231_Berlin
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Driven Jaynes-Cummings model
Rotating wave approximation
Algebra
Approximation theory
Electromagnetic field effects
Hamiltonians
Mathematical operators
Photons
Rotation
Driven Jaynes-Cummings model
Dynamical algebras
Relevant quantity
Rotating wave approximation
Quantum theory
spellingShingle Driven Jaynes-Cummings model
Rotating wave approximation
Algebra
Approximation theory
Electromagnetic field effects
Hamiltonians
Mathematical operators
Photons
Rotation
Driven Jaynes-Cummings model
Dynamical algebras
Relevant quantity
Rotating wave approximation
Quantum theory
Validity of the rotating wave approximation in the driven Jaynes-Cummings model
topic_facet Driven Jaynes-Cummings model
Rotating wave approximation
Algebra
Approximation theory
Electromagnetic field effects
Hamiltonians
Mathematical operators
Photons
Rotation
Driven Jaynes-Cummings model
Dynamical algebras
Relevant quantity
Rotating wave approximation
Quantum theory
description In this paper we define, in the context of dynamical algebras, a set of operators that are suitable for studying any relevant quantity related to the two-level Jaynes-Cummings model (JCM). We study the usual JCM with and without the rotating wave approximation (RWA), and then we add the presence of an external field. In this last case we find that in the strong driving regime there are significant differences between the results obtained with the RWA and without it. This holds even for the case in which the usual requirements for applying the RWA without an external driving are fulfilled.
title Validity of the rotating wave approximation in the driven Jaynes-Cummings model
title_short Validity of the rotating wave approximation in the driven Jaynes-Cummings model
title_full Validity of the rotating wave approximation in the driven Jaynes-Cummings model
title_fullStr Validity of the rotating wave approximation in the driven Jaynes-Cummings model
title_full_unstemmed Validity of the rotating wave approximation in the driven Jaynes-Cummings model
title_sort validity of the rotating wave approximation in the driven jaynes-cummings model
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14644266_v6_n4_p231_Berlin
http://hdl.handle.net/20.500.12110/paper_14644266_v6_n4_p231_Berlin
_version_ 1768546268772040704