Regular Article

Schmidt decomposition in the interaction of a three-level atom and a quantized field^★

¹ Instituto Politécnico Nacional, ESFM, Departamento de Física, Edificio 9, Unidad Profesional Adolfo López Mateos, 07738 CDMX, Mexico, Mexico
² Instituto Nacional de Astrofísica, Óptica y Electrónica, Calle Luis Enrique Erro 1, Santa María Tonantzintla, 72840 Puebla, Mexico

^a e-mail: hmmc@inaoep.mx

Received: 6 July 2018
Received in final form: 17 August 2018
Published online: 23 October 2018

Abstract

We show that multiphoton processes may be generated in the interaction between three-level atoms and quantized fields. Such processes are produced, with good probability, by measuring Schmidt states of the atom. Furthermore, the Schmidt decomposition allows us to define the entropy operators associated with the atom and the field.