Quantum mechanical properties of Bessel EM modes and their effect on atomic systems

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Quantum mechanical propertiesof Bessel EM modes
and their effect on atomic systems

• Rocio Jáuregui Renaud
• Instituto de Física,
• Universidad Nacional Autónoma de México

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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 invariant waves
  of cylindrical symmetry

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

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