https://doi.org/10.1140/epjd/s10053-022-00470-y
Regular Article – Atomic Physics
Role of vector polarizability induced by a linearly polarized focused Laguerre–Gaussian light: applications in optical trapping and ultracold spinor mixture
1
Department of Physics, University of Haifa, 3498838, Haifa, Israel
2
Haifa Research Center for Theoretical Physics and Astrophysics, University of Haifa, 3498838, Haifa, Israel
3
Department of Physics, School of Advanced Sciences, Vellore Institute of Technology (VIT-AP University), 522237, Andhra Pradesh, India
4
Department of Physics, Indian Institute of Technology Kharagpur, 721302, Kharagpur, India
Received:
2
March
2022
Accepted:
26
July
2022
Published online:
8
August
2022
We unravel the impact of vector polarizability, induced by a linearly polarized focused Laguerre–Gaussian (LG) light, to accurately determine the magic wavelengths for the clock transitions 
of Sc
ion and to achieve singlet-pairing process in ultracold mixture of 
Rb and 
Na atoms. We examine how the orbital angular momentum and spin-orbit coupling of the light can intervene in calculating the dynamic electric dipole polarizabilities of the atomic states and, consequently, the magic wavelengths for the clock transitions of Sc ion. As the vector polarizability can create a species-dependent synthetic magnetic field, by combining it with the real magnetic field, we propose a controlling mechanism of the interspecies singlet-pairing process, 
, where 
and 
denote the two atomic species, Rb and Na, respectively, of the ultracold heteronuclear spinor mixture. The subscript 
refers to their magnetic quantum numbers.
This singlet-pairing process cannot be distinguished from the much stronger other spin-mixing processes by applying an external magnetic field only. We demonstrate that a linearly polarized focused LG light provides a way to isolate the singlet-pairing process due to the presence of orbital angular momentum in the light.
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