Mirror-field-atom interaction: Hamiltonian diagonalization

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Autor principal: D. Rodríguez-Méndez
Formato: Artículo científico
Lenguaje:en
Publicado: Sociedad Mexicana de Física A.C. 2011
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author D. Rodríguez-Méndez
author_facet D. Rodríguez-Méndez
contents Mirror-field-atom interaction: Hamiltonian diagonalization D. Rodríguez-Méndez O. Aguilar-Loreto H. Moya-Cessa Física, Astronomía y Matemáticas non Atom classical states field interaction mirror field interaction We show that the interaction between a movable mirror with a quantized field that interacts with a two-level atom may be simplified via a transformation that involves Susskind-Glogower operators (SGO). By using this transformation it is easy to show that we can cast the Hamiltonian, after a series of small rotations, into an effective Hamiltonian that may be solved. We would like to stress that the transformation in terms of SGO already simplifies enough the Hamiltonian in the sense that, in an exact way, it “eliminates” one of the three-subsystems, namely the quantized field. 2011 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57030390010 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.3 Vol.57
format Artículo científico
id redalyc_57030390010
institution Redalyc
language en
publishDate 2011
publisher Sociedad Mexicana de Física A.C.
spellingShingle Mirror-field-atom interaction: Hamiltonian diagonalization
D. Rodríguez-Méndez
Física, Astronomía y Matemáticas
non
Atom
classical states
field interaction
mirror field interaction
Mirror-field-atom interaction: Hamiltonian diagonalization D. Rodríguez-Méndez O. Aguilar-Loreto H. Moya-Cessa Física, Astronomía y Matemáticas non Atom classical states field interaction mirror field interaction We show that the interaction between a movable mirror with a quantized field that interacts with a two-level atom may be simplified via a transformation that involves Susskind-Glogower operators (SGO). By using this transformation it is easy to show that we can cast the Hamiltonian, after a series of small rotations, into an effective Hamiltonian that may be solved. We would like to stress that the transformation in terms of SGO already simplifies enough the Hamiltonian in the sense that, in an exact way, it “eliminates” one of the three-subsystems, namely the quantized field. 2011 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57030390010 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.3 Vol.57
title Mirror-field-atom interaction: Hamiltonian diagonalization
topic Física, Astronomía y Matemáticas
non
Atom
classical states
field interaction
mirror field interaction
url https://www.redalyc.org/articulo.oa?id=57030390010