Abstract
We investigate the quantum behavior of the neutral atoms trapped by the two-dimensional potential due to an optical vortex. Our model is based on the pure optical trapped of sodium atoms in evanescent Laguerre-Gaussian (LG) light. If the LG light is tuned to the blue of the atomic resonance line, atoms will experience repulsive potential, which push them away from the high intensity region to the low intensity region. The parameters selected in this evaluation are taken to guarantee that atoms are sufficiently cooled below the recoil limit to permit several quasi harmonics trapped quantum states.