Artificial gauge fields for the Bose-Hubbard model on a checkerboard superlattice and extended Bose-Hubbard model

Abstract

We study the effects of an artificial gauge field on the ground-state phases of the Bose-Hubbard model on a checkerboard superlattice in two dimensions, including the superfluid phase and the Mott and alternating Mott insulators. First, we discuss the single-particle Hofstadter problem, and show that the presence of a checkerboard superlattice gives rise to a magnetic flux-independent energy gap in the excitation spectrum. Then, we consider the many-particle problem, and derive an analytical mean-field expression for the superfluid-Mott and superfluid--alternating-Mott insulator phase transition boundaries. Finally, since the phase diagram of the Bose-Hubbard model on a checkerboard superlattice is in many ways similar to that of the extended Bose-Hubbard model, we comment on the effects of magnetic field on the latter model, and derive an analytical mean-field expression for the superfluid-insulator phase transition boundaries as well.

8 pages, 5 figures and 1 table; to appear in EPJ B

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Cited by in corpus (5)

• Supersolid phase of the extended Bose-Hubbard model with an artificial gauge field
• Energy spectrum and phase diagrams of two-sublattice hard-core boson model
• Superfluid phases of ultracold Fermi gases on a checkerboard superlattice
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Time-of-flight images of Mott insulators in the Hofstadter-Bose-Hubbard model