Bose-Hubbard Model on a Honeycomb Superlattice: Quantum Phase Transitions and Lattice Effects
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918049998700544 |
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| author | Wang, Wei-Wei Yang, Jin Lv, Jian-Ping Zhang, Chao |
| author_facet | Wang, Wei-Wei Yang, Jin Lv, Jian-Ping Zhang, Chao |
| contents | We investigate the ground-state and finite-temperature phase diagrams of the Bose-Hubbard model on a honeycomb superlattice. The interplay between the superlattice potential depth $Δ/t$ and the onsite interaction $U/t$ gives rise to three distinct quantum phases at zero temperature: a superfluid phase, a Mott insulator I phase with unit filling on each site, and a Mott insulator II phase characterized by density imbalance-double occupancy on one sublattice and vacancy on the other at unit filling. The SF-MI transitions are found to be continuous, consistent with second-order quantum phase transitions. We further extend our analysis to finite temperatures within the superfluid regime. Our work highlights how a honeycomb superlattice geometry enables access to interaction- and lattice-modulation-driven quantum phases, including a density-imbalanced Mott insulator and a robust superfluid regime, offering concrete theoretical predictions for cold-atom experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06984 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bose-Hubbard Model on a Honeycomb Superlattice: Quantum Phase Transitions and Lattice Effects Wang, Wei-Wei Yang, Jin Lv, Jian-Ping Zhang, Chao Quantum Gases Quantum Physics We investigate the ground-state and finite-temperature phase diagrams of the Bose-Hubbard model on a honeycomb superlattice. The interplay between the superlattice potential depth $Δ/t$ and the onsite interaction $U/t$ gives rise to three distinct quantum phases at zero temperature: a superfluid phase, a Mott insulator I phase with unit filling on each site, and a Mott insulator II phase characterized by density imbalance-double occupancy on one sublattice and vacancy on the other at unit filling. The SF-MI transitions are found to be continuous, consistent with second-order quantum phase transitions. We further extend our analysis to finite temperatures within the superfluid regime. Our work highlights how a honeycomb superlattice geometry enables access to interaction- and lattice-modulation-driven quantum phases, including a density-imbalanced Mott insulator and a robust superfluid regime, offering concrete theoretical predictions for cold-atom experiments. |
| title | Bose-Hubbard Model on a Honeycomb Superlattice: Quantum Phase Transitions and Lattice Effects |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2506.06984 |