Mean-field theory for Bose-Hubbard model under a magnetic field

2006/08/31 by M. Ö. Oktel, M. O. Oktel, M. Niţă +2 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.75.045133

published as Phys. Rev. B 75, 045133 (2007) · 11 pages, 7 figures, published version

openalex publication_date 2007/01/31 · arxiv created 2007/03/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the superfluid-insulator transition for cold bosons under an effective magnetic field. We investigate how the applied magnetic field affects the Mott transition within mean-field theory and find that the critical hopping strength (t∕U)_c increases with the applied field. The increase in the critical hopping follows the bandwidth of the Hofstadter butterfly at the given value of the magnetic field. We also calculate the magnetization and superfluid density within mean-field theory.

Citations

• Resolved-Sideband Raman Cooling to the Ground State of an Optical Lattice
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Phase diagram for ultracold bosons in optical lattices and superlattices
• Fractional Quantum Hall States of Atoms in Optical Lattices

Cited by

• Time-of-flight patterns of ultracold bosons in optical lattices in various Abelian artificial magnetic field gauges