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.

13 pages, 9 figures

References in corpus (4)

• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Quasi-relativistic behavior of cold atoms in light fields
• Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta
• Metal-Insulator Transition Revisited for Cold Atoms in Non-Abelian Gauge Potentials

Cited by in corpus (8)

• 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
• Massless Dirac Fermions in a Square Optical Lattice
• Quantum simulation of artificial Abelian gauge field using nitrogen-vacancy center ensembles coupled to superconducting resonators
• Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials
• Vortex lattices for ultracold bosonic atoms in a non-Abelian gauge potential
• Analogue of the quantum Hall effect for neutral particles with magnetic dipole moment
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels