The double-well Bose Hubbard model with nearest-neighbor and cavity-mediated long-range interactions

TL;DR

This paper investigates a one-dimensional Bose-Hubbard model with double-well potentials, nearest-neighbor, and cavity-mediated long-range interactions, revealing new quantum phases through quantum Monte Carlo simulations.

Contribution

It introduces the study of a double-well Bose-Hubbard model with long-range interactions, identifying novel dimerized phases and phase transitions.

Findings

Dimerized Mott insulator phase at the tip of the density wave phase.

Existence of a dimerized Haldane insulator phase.

Phase diagrams showing the impact of long-range interactions.

Abstract

We consider a one-dimensional Bose-Hubbard model (BHM) with on-site double-well potentials and study the effect of nearest-neighbor repulsion and cavity-mediated long-range interactions by calculating the ground-state phase diagrams with quantum Monte-Carlo simulations. We show that when the intra-well repulsion is as strong as the on-site repulsion a dimerized Mott insulator phase appears at the tip of the dimerized Density Wave phase for a density of one particle per double well. Furthermore, we find a dimerized Haldane insulator phase in the double-well BHM with nearest-neighbor interaction, which is identical to a dimerized BHM with repulsive interactions up to the third neighbor.