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arXiv · 2602.17427

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

Lorenzo Carfora·Callum W. Duncan·Stefan Kuhr·Peter Kirton
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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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Lorenzo Carfora, Callum W. Duncan, Stefan Kuhr, Peter Kirton. 2026-02-19. Mott-insulating phases of the Bose-Hubbard model on quasi-1D ladder lattices. https://doi.org/10.1103/wml6-1kc2

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