Bosons in a two-dimensional bichromatic quasiperiodic potential: Analysis of the disorder in the Bose-Hubbard parameters and phase diagrams

Abstract

Experimental realizations of disorder in optical lattices generate a distribution of the Bose-Hubbard (BH) parameters, like on-site potentials, hopping strengths, and interaction energies. We analyze this distribution for bosons in a bichromatic quasi-periodic potential by determining the generalized Wannier functions and calculating the corresponding BH parameters. Using a local mean-field cluster analysis, we study the effect of the corresponding disorder on the phase diagrams. We find a substantial amount of disorder in the hopping strengths, which produces strong deviations from the phase diagram of the disordered BH model with solely random on-site potentials.

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Cited by in corpus (7)

• Observing the two-dimensional Bose glass in an optical quasicrystal
• Hubbard Models for Quasicrystalline Potentials
• Multifractality and Hyperuniformity in Quasicrystalline Bose-Hubbard Models with and without Disorder
• Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model
• Interaction-induced reentrance of Bose glass and quench dynamics of Bose gases in twisted bilayer and quasicrystal optical lattices
• Phase Properties of Interacting Bosons in Presence of Quasiperiodic and Random Disorder
• Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder