Tunable magic wavelengths for trapping with focused Laguerre-Gaussian beam

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 $5s_{1/2}\to 4d_{3/2,5/2}$ 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.

24 pages, 6 Tables, 5 Figures

References in corpus (12)

• Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Sr lattice clock at 1x10^{-16} fractional uncertainty by remote optical evaluation with a Ca clock
• Angular momentum of focused beams: beyond the paraxial approximation
• Angular Momentum Transfer in Interaction of Laguerre-Gaussian Beams with Atoms and Molecules
• Magic wavelengths for the np-ns transitions in alkali-metal atoms
• Magic frequencies for cesium primary frequency standard
• Magic wavelengths in the alkaline earth ions
• Interaction of atom with non-paraxial Laguerre-Gaussian beam:Forming superposition of vortex states in Bose-Einstein condensates
• Study of coupled-cluster correlations on electromagnetic transitions and hyperfine structure constants of W VI
• Precise calculations of astrophysically important allowed and forbidden transitions of Xe VIII
• Electron-correlation study of Y III-Tc VII ions using a relativistic coupled-cluster theory

Cited by in corpus (7)

• Accurate estimations of electromagnetic transitions of Sn IV for stellar and interstellar media
• Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction: Mean-field and many-body dynamics
• Transfer of orbital angular momentum superposition from asymmetric Laguerre-Gaussian beam to Bose-Einstein Condensate
• Vector polarizability of atomic state induced by a linearly polarized vortex beam: External control of magic, tune-out wavelengths, and heteronuclear spin oscillations
• Tuning of non-paraxial effects of the Laguerre-Gaussian beam interacting with the two-component Bose-Einstein condensates
• Precise many-body calculations and hyperfine interaction effect on dynamic polarizabilities at the low-lying energy levels of Y${}^{2+}$
• Forces on alkali Rydberg atoms due to non-linearly polarized light