Landau levels of cold atoms in non-Abelian gauge fields

Abstract

The Landau levels of cold atomic gases in non-Abelian gauge fields are analyzed. In particular we identify effects on the energy spectrum and density distribution which are purely due to the non-Abelian character of the fields. We investigate in detail non-Abelian generalizations of both the Landau and the symmetric gauge. Finally, we discuss how these non-Abelian Landau and symmetric gauges may be generated by means of realistically feasible lasers in a tripod scheme.

arXiv comment13 pages, 9 figures

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Cited by in corpus (20)

• Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
• Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
• Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
• Modern semiclassical theory of magnetic transport and breakdown
• Massless Dirac Fermions in a Square Optical Lattice
• Jahn-Teller induced Berry phase in spin-orbit coupled Bose-Einstein condensates
• Relativistic Landau quantization for a neutral particle
• Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials
• Quantum simulation of artificial Abelian gauge field using nitrogen-vacancy center ensembles coupled to superconducting resonators
• Phase diagrams and Thomas-Fermi estimates for spin-orbit coupled Bose-Einstein Condensates under rotation
• Effects on a Landau-type system for a neutral particle with no permanent electric dipole moment subject to the Kratzer potential in a rotating frame
• Ultracold atoms in U(2) non-Abelian gauge potentials preserving the Landau levels
• Vortex lattices for ultracold bosonic atoms in a non-Abelian gauge potential
• Correlations, Dynamics, and Interferometry of Anyons in the Lowest Landau Level
• Layered Quantum Hall Insulators with Ultracold Atoms
• Analogue of the quantum Hall effect for neutral particles with magnetic dipole moment
• Landau-like states in neutral particles
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels
• Cold atoms in U(3) gauge potentials
• Landau Quantization for $\Lambda$-Type Neutral Atoms in an Homogeneous Spin-Dependent Gauge Potential