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

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.

arXiv comment11 pages, two figures

References in corpus (19)

• Synthetic magnetic fields for ultracold neutral atoms
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Topological phase due to electric dipole moment and magnetic monopole interaction
• Slow light in degenerate Fermi gases
• Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
• Artificial electromagnetism for neutral atoms: Escher staircase and Laughlin liquids
• Quasi-relativistic behavior of cold atoms in light fields
• Towards a quantum Hall effect for atoms using electric fields
• Landau Quantization of Neutral Particles in an External Field
• Landau Levels Analog to Electric Dipole
• A two-dimensional quantum gas in a magnetic trap
• Macroscopic Klein Tunneling in spin-orbit coupled Bose-Einstein Condensates
• Two-Dimensional Electron Gas with Cold Atoms in Non-Abelian Gauge Potentials
• Landau levels of cold atoms in non-Abelian gauge fields
• Particles in non-Abelian gauge potentials - Landau problem and insertion of non-Abelian flux
• Cavity optomechanics with synthetic Landau levels of ultra cold Fermi gas
• Filled Landau levels in neutral quantum gases
• de Haas van Alphen oscillations for neutral atoms in electric fields