quantum mechanical properties of bessel em modes and their
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Quantum mechanical propertiesof Bessel EM modes and their
effect on atomic systems
Rocio Jáuregui RenaudInstituto de Física,
Universidad Nacional Autónoma de México
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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
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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.
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Bessel modes are propagation invariantwaves of cylindrical symmetry
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•They can be generated approximatelyusing holograms, optical light modulators and other optical dispositives like axicons.
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m=1 m=3
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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
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• R. Jáuregui, Phys. Rev. A 70,033415 (2004)• R. Jáuregui and S.Hacyan, Phys. Rev. A 71, (2005)