Landau Quantization for $ \Lambda $-Type Neutral Atoms in an Homogeneous Spin-Dependent Gauge Potential

TL;DR

This paper explores how neutral atoms with a three-level -Lambda configuration can exhibit Landau quantization under a uniform spin-dependent gauge field, revealing potential quantum oscillations in a 2D atomic gas.

Contribution

It presents a simple experimental scheme to generate Landau levels in a -Lambda atomic system with a spin-dependent gauge potential, detailing energy eigenstates and conditions for quantum oscillations.

Findings

Derived energy eigenfunctions and eigenvalues for the system

Identified experimental conditions for observing quantum oscillations

Proposed a feasible scheme for Landau quantization in neutral atoms

Abstract

We investigate the quantum dynamics of neutral atoms subject to a uniform spin-dependent gauge field. In particular, we analyze a simple experimental scheme to generate the Landau quantization in a two dimensional atomic gas with internal three-level $\Lambda$-type configuration. We show how energy eigenfunctions and eigenvalues are obtained and discuss the experimental conditions for which a variety of physical quantities of the atomic gas can exhibit quantum oscillations.