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, J.L., Aliaga, J.
Formato: JOUR
Acceso en línea: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
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spelling todo:paper_10502947_v56_n3_p2473_Gruver2023-10-03T15:59:06Z Dynamical algebraic connection between the Stark and Kerr effects Gruver, J.L. Aliaga, J. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Gruver, J.L.
Aliaga, J.
spellingShingle Gruver, J.L.
Aliaga, J.
Dynamical algebraic connection between the Stark and Kerr effects
author_facet Gruver, J.L.
Aliaga, J.
author_sort Gruver, J.L.
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
url http://hdl.handle.net/20.500.12110/paper_10502947_v56_n3_p2473_Gruver
work_keys_str_mv AT gruverjl dynamicalalgebraicconnectionbetweenthestarkandkerreffects
AT aliagaj dynamicalalgebraicconnectionbetweenthestarkandkerreffects
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