Dynamical algebraic connection between the Stark and Kerr effects

We show that the Stark and Kerr Hamiltonians are deeply connected in the framework of dynamical algebras. We found that the algebras for both Hamiltonians are the same when physically relevant magnitudes, such as the population inversion and the [Formula Presented]th order coherence function are con...

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Autores principales: Gruver, José Luis, Aliaga, Jorge Luis
Publicado: 1997
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v56_n3_p2473_Gruver
http://hdl.handle.net/20.500.12110/paper_10502947_v56_n3_p2473_Gruver
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10502947_v56_n3_p2473_Gruver
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spelling paper:paper_10502947_v56_n3_p2473_Gruver2023-06-08T16:01:46Z Dynamical algebraic connection between the Stark and Kerr effects Gruver, José Luis Aliaga, Jorge Luis We show that the Stark and Kerr Hamiltonians are deeply connected in the framework of dynamical algebras. We found that the algebras for both Hamiltonians are the same when physically relevant magnitudes, such as the population inversion and the [Formula Presented]th order coherence function are considered as elements of a Lie algebra under commutation with the Hamiltonians. By analyzing the equations of motion we were able to find a set of conditions for the characteristic magnitudes of both Hamiltonians that leads to the same dynamical behavior for all the elements of the group. Finally, we conclude that the results of this paper can be generalized to any extension of the Jaynes-Cummings model, where any of the different elements of the group are present. © 1997 The American Physical Society. Fil:Gruver, J.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Aliaga, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v56_n3_p2473_Gruver http://hdl.handle.net/20.500.12110/paper_10502947_v56_n3_p2473_Gruver
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We show that the Stark and Kerr Hamiltonians are deeply connected in the framework of dynamical algebras. We found that the algebras for both Hamiltonians are the same when physically relevant magnitudes, such as the population inversion and the [Formula Presented]th order coherence function are considered as elements of a Lie algebra under commutation with the Hamiltonians. By analyzing the equations of motion we were able to find a set of conditions for the characteristic magnitudes of both Hamiltonians that leads to the same dynamical behavior for all the elements of the group. Finally, we conclude that the results of this paper can be generalized to any extension of the Jaynes-Cummings model, where any of the different elements of the group are present. © 1997 The American Physical Society.
author Gruver, José Luis
Aliaga, Jorge Luis
spellingShingle Gruver, José Luis
Aliaga, Jorge Luis
Dynamical algebraic connection between the Stark and Kerr effects
author_facet Gruver, José Luis
Aliaga, Jorge Luis
author_sort Gruver, José Luis
title Dynamical algebraic connection between the Stark and Kerr effects
title_short Dynamical algebraic connection between the Stark and Kerr effects
title_full Dynamical algebraic connection between the Stark and Kerr effects
title_fullStr Dynamical algebraic connection between the Stark and Kerr effects
title_full_unstemmed Dynamical algebraic connection between the Stark and Kerr effects
title_sort dynamical algebraic connection between the stark and kerr effects
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v56_n3_p2473_Gruver
http://hdl.handle.net/20.500.12110/paper_10502947_v56_n3_p2473_Gruver
work_keys_str_mv AT gruverjoseluis dynamicalalgebraicconnectionbetweenthestarkandkerreffects
AT aliagajorgeluis dynamicalalgebraicconnectionbetweenthestarkandkerreffects
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