Role of vector polarizability induced by a linearly polarized focused Laguerre–Gaussian light: applications in optical trapping and ultracold spinor mixture

• Published in: The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2022-08, Vol.76 (8), Article 139
• Main Authors: Bhowmik, Anal, Dutta, Narendra Nath, Das, Subrata
• Format: Article
• Language: English
• Subjects: Angular momentum; Applications of Nonlinear Dynamics and Chaos Theory; Atomic; Atomic states; Electric dipoles; Linear polarization; Magnetic fields; Mixtures; Molecular; Optical and Plasma Physics; Optical trapping; Physical Chemistry; Physics; Physics and Astronomy; Quantum Information Technology; Quantum numbers; Quantum Physics; Regular Article – Atomic Physics; Spectroscopy/Spectrometry; Spin-orbit interactions; Spintronics; Wavelengths
• ISSN: 1434-6060; 1434-6079
• DOI: 10.1140/epjd/s10053-022-00470-y

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 4 s 1 2 - 3 d 3 2 , 5 2 of Sc 2 + ion and to achieve singlet-pairing process in ultracold mixture of 87 Rb and 23 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 2 + 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, β + 1 + γ - 1 ↔ β - 1 + γ + 1 , where β and γ denote the two atomic species, 87 Rb and 23 Na, respectively, of the ultracold heteronuclear spinor mixture. The subscript ± 1 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. Graphic abstract