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| Natura: | Preprint |
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2026
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| Accesso online: | https://arxiv.org/abs/2605.06171 |
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| _version_ | 1866910198094888960 |
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| author | Guimaraes, Danilo Nascimento Sanchez-Palencia, Laurent |
| author_facet | Guimaraes, Danilo Nascimento Sanchez-Palencia, Laurent |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06171 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum phase diagrams for bosons in hexagonal optical potentials: A continuous-space quantum Monte Carlo study Guimaraes, Danilo Nascimento Sanchez-Palencia, Laurent Quantum Gases Quantum Physics 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. |
| title | Quantum phase diagrams for bosons in hexagonal optical potentials: A continuous-space quantum Monte Carlo study |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2605.06171 |