Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices

TL;DR

This study explores how anisotropic dipole-dipole interactions in finite cylindrical optical lattices influence the ground states of hardcore dipolar bosons, revealing novel ordered density patterns and entanglement behaviors.

Contribution

It introduces a numerical analysis of dipolar bosons in cylindrical lattices, highlighting the effects of spatially-dependent interactions on ground state ordering and entanglement.

Findings

Solid state with azimuthal sublattice density order emerges with cooperative interactions.

Repulsive axial interactions increase entanglement and create distinct density patterns.

Ordered states appear staggered according to azimuthal sublattices as a function of interaction strength.

Abstract

Recent experimental progress in magnetic atoms and polar molecules has created the prospect of simulating dipolar Hubbard models with off-site interactions. When applied to real-space cylindrical optical lattices, these anisotropic dipole-dipole interactions acquire a tunable spatially-dependent component while they remain translationally-invariant in the axial direction, creating a sublattice structure in the azimuthal direction. We numerically study how the coexistence of these classes of interactions affects the ground state of hardcore dipolar bosons at half-filling in a finite-size cylindrical optical lattice with octagonal rings. When these two interaction classes cooperate, we find a solid state where the density order is determined by the azimuthal sublattice structure and builds smoothly as the interaction strength increases. For dipole polarisations where the axial interactions are sufficiently repulsive, the repulsion competes with the sublattice structure, significantly increasing entanglement and creating two distinct ordered density patterns. The spatially-varying interactions cause the emergence of these ordered states in small lattices as a function of interaction strength to be staggered according to the azimuthal sublattices.