Benchmark study of the SF-MI phase transition of the Bose–Hubbard model with density-induced tunneling

The Bose–Hubbard model (BHM) is a standard model which describes the quantum behavior of ultracold bosons in optical lattice. When tuning the model parameters, a quantum phase transition from superfluid (SF) phase to Mott insulating (MI) phase emerges. However, an extra tunneling process – the density-induced tunneling – is usually ignored in the standard BHM. Using process-chain method, we give a thorough study of the phase diagram of the BHM with density-induced tunneling in different particle density regions and spatial dimensions. We find the density-induced tunneling process can affect the SF-MI phase boundary dramatically, by suppressing the MI region and tune the tip of the phase boundary to lower chemical potential. Our unbiased numerical study gives benchmark results of the phase diagram of the BHM with density-induced tunneling.