Equivalence between mirror-field-atom and ion-laser interactions

Authors

R. Ju?rez-Amaro, Universidad Tecnol´ogica de la Mixteca, Apdo. Postal 71, Huajuapan de Le´on, Oax., 69000 Mexico
A. Z??iga-Segundo
F. Soto-Eguibar
H.M. Moya-Cessa

Author Country (or Countries)

69000 Mexico

Abstract

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 unitary transformation, into a Hamiltonian that is equivalent to the ion-laser Hamiltonian. 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.

Suggested Reviewers

N/A

Recommended Citation

Ju?rez-Amaro, R.; Z??iga-Segundo, A.; Soto-Eguibar, F.; and Moya-Cessa, H.M. (2013) "Equivalence between mirror-field-atom and ion-laser interactions," Applied Mathematics & Information Sciences: Vol. 07: Iss. 4, Article 6.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss4/6