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

Johannes Sicks; Heiko Rieger

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arXiv · 2308.15915

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

Johannes Sicks·Heiko Rieger

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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.

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Johannes Sicks, Heiko Rieger. 2023-08-30. The double-well Bose Hubbard model with nearest-neighbor and cavity-mediated long-range interactions. https://arxiv.org/abs/2308.15915

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