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We investigate the quantum dynamics of neutral atoms subject to a uniformspin-dependent gauge field. In particular, we analyze a simple experimentalscheme to generate the Landau quantization in a two dimensional atomic gas withinternal three-level $\Lambda$-type configuration. We show how energyeigenfunctions and eigenvalues are obtained and discuss the experimentalconditions for which a variety of physical quantities of the atomic gas canexhibit quantum oscillations.

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