de Haas van Alphen oscillations for neutral atoms in electric fields

TL;DR

This paper investigates the de Haas van Alphen effect in neutral atoms with magnetic moments under electric fields, revealing quantum oscillations and Fermi surface properties in a 2D ultracold atomic system.

Contribution

It introduces a theoretical framework for observing dHvA oscillations in neutral atoms using Landau-Aharonov-Casher theory, extending quantum magnetic phenomena to neutral atomic gases.

Findings

Quantum oscillations in energy and magnetization are demonstrated.

The Fermi surface area of the atomic cloud is determined from oscillation period.

Effective magnetic fields enable dHvA effects in neutral atom systems.

Abstract

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.