Tunable magic wavelengths for trapping with focused Laguerre-Gaussian beam

TL;DR

This paper develops a theory to identify tunable magic wavelengths for trapping Sr+ ions using focused Laguerre-Gaussian beams, enabling precise control in quantum experiments.

Contribution

It introduces a relativistic coupled-cluster based method to calculate magic wavelengths for specific atomic transitions under non-paraxial LG beams, considering beam focusing effects.

Findings

Magic wavelengths vary with orbital and spin angular momenta.

Focusing angle influences the tunability of magic wavelengths.

Magic wavelengths span from infrared to ultraviolet, aiding high-precision measurements.

Abstract

We present in this paper a theory of dynamic polarizability for an atomic state due to an external field of non-paraxial Laguerre-Gaussian (LG) beam using the sum-over-states technique. A highly correlated relativistic coupled-cluster theory is used to evaluate the most important and correlation sensitive parts of the sum. The theory is applied on Sr$^+$ to determine the magic wavelengths for $5s_{{1}/{2}}\rightarrow 4d_{{3}/{2}, {5}/{2}}$ transitions. Results show the variation of magic wavelengths with the choice of orbital and spin angular momenta of the incident LG beam. Also, the tunability of the magic wavelengths is studied using the focusing angle of the LG beam and observed its efficiency in the near-infrared region. Evaluations of the wide spectrum of magic wavelengths from infrared to ultra-violet have substantial importance to the experimentalists for carrying out high precision measurements in fundamental physics. These magic wavelengths can be used to confine the atom or ion at the dark central node or at the high-intensity ring of the LG beam.