  In this work we study the de Haas van Alfhen (dHvA) effect for neutral atoms
with a nonvanishing magnetic moment interacting with an electric field.
Considering the particles confined in a two dimensional (2D) atomic cloud and
using the Landau-Aharonov-Casher (LAC) theory, we obtain the effective magnetic
field as well as the energy eigenfunctions and eigenvalues of the system.
Assuming the neutral atoms as being $ ^{87}\mathrm{Rb} $ ultracold Rydberg
atoms we calculate the degeneracy of the energy levels. Under a strong
effective magnetic field regime we present the quantum oscillations in the
energy and effective magnetization of the atomic gas. From the dHvA period we
determine the area of the Fermi circle of the atomic cloud.
