Abstract
We study he quantum behavior of atoms confined by a two-dimensional potential due to the evanescent wave coating the internal walls of an optical cavity. The cavity size should be in the range comparable with the thermal de Broglie wavelength of the atoms. When the laser light is tuned to the blue of the atomic resonance line, atoms will experience repulsive optical potential pushing them away from the high intensity region near the walls to the dark region in the middle of the cavity. The appropriate parameters are selected in order to generate a suitable optical potential to allow the appearance of several quasi harmonic confined states of the atoms.