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Abstract:

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.

Registro:

Documento: Artículo
Título:Dynamical algebraic connection between the Stark and Kerr effects
Autor:Gruver, J.L.; Aliaga, J.
Filiación:Grupo de Sistemas Dinámicos, Centro Regional Norte, Universidad de Buenos Aires, Casilla de Correo 15 - Sucursal 1, Martínez, Buenos Aires, 1640, Argentina
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Año:1997
Volumen:56
Número:3
Página de inicio:2473
Página de fin:2476
DOI: http://dx.doi.org/10.1103/PhysRevA.56.2473
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v56_n3_p2473_Gruver

Referencias:

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Citas:

---------- APA ----------
Gruver, J.L. & Aliaga, J. (1997) . Dynamical algebraic connection between the Stark and Kerr effects. Physical Review A - Atomic, Molecular, and Optical Physics, 56(3), 2473-2476.
http://dx.doi.org/10.1103/PhysRevA.56.2473
---------- CHICAGO ----------
Gruver, J.L., Aliaga, J. "Dynamical algebraic connection between the Stark and Kerr effects" . Physical Review A - Atomic, Molecular, and Optical Physics 56, no. 3 (1997) : 2473-2476.
http://dx.doi.org/10.1103/PhysRevA.56.2473
---------- MLA ----------
Gruver, J.L., Aliaga, J. "Dynamical algebraic connection between the Stark and Kerr effects" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 56, no. 3, 1997, pp. 2473-2476.
http://dx.doi.org/10.1103/PhysRevA.56.2473
---------- VANCOUVER ----------
Gruver, J.L., Aliaga, J. Dynamical algebraic connection between the Stark and Kerr effects. Phys Rev A. 1997;56(3):2473-2476.
http://dx.doi.org/10.1103/PhysRevA.56.2473