Trapped atoms in spatially-structured vector light fields
- URL: http://arxiv.org/abs/2306.17571v3
- Date: Thu, 11 Jan 2024 13:07:53 GMT
- Title: Trapped atoms in spatially-structured vector light fields
- Authors: Maurizio Verde, Christian T. Schmiegelow, Ulrich Poschinger and
Ferdinand Schmidt-Kaler
- Abstract summary: We present a framework for computing atomic transition matrix elements for light fields of arbitrary spatial mode and polarization structures.
We calculate the spatial dependence of electronic and motional matrix elements for tightly focused Hermite-Gaussian, Laguerre-Gaussian and for radially and azimuthally polarized beams.
We show that near the diffraction limit, all these beams exhibit longitudinal fields and field gradients, which strongly affect the selection rules and could be used to tailor the light-matter interaction.
- Score: 32.97208255533144
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Spatially-structured laser beams, eventually carrying orbital angular
momentum, affect electronic transitions of atoms and their motional states in a
complex way. We present a general framework, based on the spherical tensor
decomposition of the interaction Hamiltonian, for computing atomic transition
matrix elements for light fields of arbitrary spatial mode and polarization
structures. We study both the bare electronic matrix elements, corresponding to
transitions with no coupling to the atomic center-of-mass motion, as well as
the matrix elements describing the coupling to the quantized atomic motion in
the resolved side-band regime. We calculate the spatial dependence of
electronic and motional matrix elements for tightly focused Hermite-Gaussian,
Laguerre-Gaussian and for radially and azimuthally polarized beams. We show
that near the diffraction limit, all these beams exhibit longitudinal fields
and field gradients, which strongly affect the selection rules and could be
used to tailor the light-matter interaction. The presented framework is useful
for describing trapped atoms or ions in spatially-structured light fields and
therefore for designing new protocols and setups in quantum optics, -sensing
and -information processing.
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