Quantum mechanical propertiesof Bessel EM modes and their

effect on atomic systems

Rocio Jáuregui RenaudInstituto de Física,

Universidad Nacional Autónoma de México

Shahen Hacyan SaleryanRocio Jáuregui RenaudEugenio Ley KooAlejandro Reyes EsquedaKaren Volke Sepúlveda

Victor Hugo Mellado EnríquezAlejandro Hernández y HernándezErnesto Colavita GómezAlejandro Vásquez ArzolaJosúe Hernández HernándezAnahí Flores Pérez

OBJECTIVES• Bessel EM modes are studied within the general

framework of quantum optics. The basic dynamical operators are identified and their algebraic properties are studied.

• As a mean to measure these dynamical proper-ties, the transition probability for the emission of a Bessel photon by an atomic system is calculated within first order perturbation theory. This permits to analyze the feasibility of observing new rotational effects of twisted light on atoms.

Bessel modes are propagation invariantwaves of cylindrical symmetry

•They can be generated approximatelyusing holograms, optical light modulators and other optical dispositives like axicons.

m=1 m=3

Ejemplo:m=2, n=2

−x H6− 6 x +4 x+ 2 x x+ x2Lx4

0.2 0.4 0.6 0.8 1

5

10

15

• R. Jáuregui, Phys. Rev. A 70,033415 (2004)• R. Jáuregui and S.Hacyan, Phys. Rev. A 71, (2005)