Tunable 2D atomic localization via azimuthal quantum number in a four-level tripod-type system

In this work, we explore a tunable scheme for achieving precise two-dimensional (2D) atomic localization in a four-level tripod atomic system. The system is driven by two control fields with orbital angular momentum and a weak probe field. By varying the azimuthal quantum numbers, spatial phase shifts, and atomic decay rates, we demonstrate controlled manipulation of atomic localization with high spatial precision. The interaction of structured light fields with the atomic system generates interference patterns that result in sharp localization peaks in the 2D plane. The study investigates the effects of varying the control parameters, such as phase shifts and decay rates, on the number, spacing, and sharpness of these localization peaks. Notably, optimized parameters lead to the formation of a single, highly localized transmission peak, enabling subwavelength spatial resolution. Our results have significant implications for applications in atom lithography, precision spectroscopy, and quantum state engineering, offering a flexible method for precise control of atomic positions in quantum systems.