Quantum phase diagrams for bosons in hexagonal optical potentials: A continuous-space quantum Monte Carlo study

• URL: http://arxiv.org/abs/2605.06171v1
• Date: Thu, 07 May 2026 12:54:17 GMT
• Title: Quantum phase diagrams for bosons in hexagonal optical potentials: A continuous-space quantum Monte Carlo study
• Abstract summary: We investigate the phase diagrams of ultracold bosons in honeycomb and h-BN lattices.<n>For the honeycomb lattice, we find significant deviations from the standard Bose-Hubbard model even for strong lattice amplitudes.<n>In the h-BN case, a rich phase diagram emerges, featuring multiple Mott lobes with various sublattice occupations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Hexagonal optical lattices, emulating graphene and hexagonal boron nitride (h-BN) structures, provide a versatile platform for exploring strongly correlated quantum matter. Using continuous-space exact diagonalization and quantum Monte Carlo simulations, we investigate the phase diagrams of ultracold bosons in honeycomb and h-BN lattices. For the honeycomb lattice, we find significant deviations from the standard Bose-Hubbard model even for strong lattice amplitudes. We observe suppressed Mott insulator lobes and the absence of higher-order insulating phases, attributed to strong density-assisted tunneling effects. In the h-BN case, a rich phase diagram emerges, featuring multiple Mott lobes with various sublattice occupations, driven by the interplay of lattice asymmetry, interactions, and particle filling. Our results highlight the necessity of continuous-space treatments for capturing the full complexity of bosonic quantum phases in hexagonal geometries, paving the way for experimental realizations with ultracold atoms and further theoretical work.

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