English

Generalized effective-potential Landau theory for a tunable state-dependent hexagonal optical lattice

Quantum Gases 2023-01-04 v1

Abstract

We analytically study the ground-state phase diagrams of ultracold bosons with various values of the effective magnetic quantum number mm in a state-dependent hexagonal optical lattice by using the generalized effective-potential Landau theory, where the site-offset energy between the two triangular sublattice A and B is tunable. Our analytical calculations of third-order corrections are in reasonably good agreement with the previous cluster Gutzwiller calculations. Furthermore, we reveal the reason why the regions of the Mott lobes (n,n)(n,n) in phase diagrams for m=0.02m=0.02 are unexpectedly expanded with increasing J/UJ/U in deep lattice.

Keywords

Cite

@article{arxiv.2207.00946,
  title  = {Generalized effective-potential Landau theory for a tunable state-dependent hexagonal optical lattice},
  author = {Sheng Yue and Dan-Yang Chen and Chenrong Liu and Ming Yang and Zhi Lin},
  journal= {arXiv preprint arXiv:2207.00946},
  year   = {2023}
}
R2 v1 2026-06-24T12:12:15.365Z