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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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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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 |
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1768546268772040704 |