Theoretical Model for Sub-Wavelength Atomic Localization Based on Surface Plasmon Polariton Dispersion and Orbital Angular Momentum

This manuscript theoretically investigates atomic microscopy at the interface of a silver-silica (AgSiO ₂ ) Nano-composite and cesium atomic medium, incorporating surface plasmon polariton dispersion relations and the effect of Orbital Angular Momentum (OAM). The localization mechanism is determined by the absorption spectrum of surface plasmon polaritons (SPPs), which is influenced by the imaginary part of the propagation constant [Im (ksp)]. Here's the simplified version. The position of atoms may be controlled by altering (OAM) and field parameters, including probe detuning (δ _p ), control field detuning (δ _1,2 ), decay rates (γ _1,2,3,4 ), Nano-composite volume percentage (f _v ), Rabi frequencies (Ω _1,2 ) and position independent part of Rabi frequencies (G _1,2 ). The suggested scheme gains sub-wavelength spatial resolution in atom localization, with potential applications in atom nanolithography and in the process of neutral atom trapping and laser cooling and more. These findings demonstrate how important quantum-plasmonic interactions are to sophisticated atomic manipulation methods.