Mott-insulating phases of the Bose-Hubbard model on quasi-1D ladder lattices

• URL: http://arxiv.org/abs/2602.17427v2
• Date: Sat, 21 Feb 2026 14:13:33 GMT
• Title: Mott-insulating phases of the Bose-Hubbard model on quasi-1D ladder lattices
• Authors: Lorenzo Carfora, Callum W. Duncan, Stefan Kuhr, Peter Kirton,
• Abstract summary: We calculate the phase diagram of the Bose-Hubbard model on a half-filled ladder lattice.<n>Phases analogous to the rung-Mott insulator (RMI) were found to exist in other quasi-1D lattice structures.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We calculate the phase diagram of the Bose-Hubbard model on a half-filled ladder lattice including the effect of finite on-site interactions. This shows that the rung-Mott insulator (RMI) phase persists to finite interaction strength, and we calculate the RMI-superfluid phase boundary in the thermodynamic limit. We show that the phases can still be distinguished using the number and parity variances, which are observables accessible in a quantum-gas microscope. Phases analogous to the RMI were found to exist in other quasi-1D lattice structures, with the lattice connectivity modifying the phase boundaries. This shows that the the presence of these phases is the result of states with one-dimensional structures being mapped onto higher dimensional systems, driven by the reduction of hopping rates along different directions.

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