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Trapped atoms in spatially-structured vector light fields.

Maurizio Verde1, Christian T Schmiegelow2,3, Ulrich Poschinger4

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We developed a general framework to calculate how structured laser beams affect atomic transitions and motion. This method helps tailor light-matter interactions for quantum technologies.

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Area of Science:

  • Quantum Optics
  • Atomic Physics
  • Laser Physics

Background:

  • Spatially structured laser beams, including those with orbital angular momentum, intricately influence atomic electronic transitions and motion.
  • Understanding these interactions is crucial for advancing quantum technologies.

Purpose of the Study:

  • To present a general framework for calculating atomic transition matrix elements for complex light fields.
  • To investigate the spatial dependence of these matrix elements for various laser beam types.

Main Methods:

  • Utilizing spherical tensor decomposition of the interaction Hamiltonian.
  • Computing bare electronic and motion-coupled matrix elements.
  • Analyzing tightly focused Hermite-Gaussian, Laguerre-Gaussian, and polarized beams.

Main Results:

  • Demonstrated that structured beams exhibit longitudinal fields and gradients near the diffraction limit.
  • These fields significantly impact atomic transition selection rules.
  • The framework accurately calculates spatial dependencies of electronic and motional matrix elements.

Conclusions:

  • The developed framework enables precise tailoring of light-matter interactions.
  • It is applicable to trapped atoms and ions in structured light fields.
  • Facilitates the design of novel quantum optics, sensing, and information processing protocols.