Equilibrium phases of two-dimensional bosons in quasi-periodic lattices

Abstract

We report on results of Quantum Monte Carlo simulations for bosons in a two dimensional quasi-periodic optical lattice. We study the ground state phase diagram at unity filling and confirm the existence of three phases: superfluid, Mott insulator, and Bose glass. At lower interaction strength, we find that sizable disorder strength is needed in order to destroy superfluidity in favor of the Bose glass. On the other hand, at large enough interaction superfluidity is completely destroyed in favor of the Mott insulator (at lower disorder strength) or the Bose glass (at larger disorder strength). At intermediate interactions, the system undergoes an insulator to superfluid transition upon increasing the disorder, while a further increase of disorder strength drives the superfluid to Bose glass phase transition. While we are not able to discern between the Mott insulator and the Bose glass at intermediate interactions, we study the transition between these two phases at larger interaction strength and, unlike what reported in arXiv:1110.3213v3 for random disorder, find no evidence of a Mott-glass-like behavior.

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Cited by in corpus (8)

• Observing the two-dimensional Bose glass in an optical quasicrystal
• Bosons in a two-dimensional bichromatic quasiperiodic potential: Analysis of the disorder in the Bose-Hubbard parameters and phase diagrams
• Equilibrium phases of dipolar lattice bosons in the presence of random diagonal disorder
• Green's function approach to the Bose-Hubbard model with disorder
• Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Interaction-induced reentrance of Bose glass and quench dynamics of Bose gases in twisted bilayer and quasicrystal optical lattices
• Emergence of damped-localized excitations of the Mott state due to disorder