  We investigate the interaction-induced superfluid-to-Mott insulator
transition in the one-dimensional Bose-Hubbard model (BHM) for fillings $n=1$,
$n=2$, and $n=3$ by studying the single-particle gap, the fidelity
susceptibility, and the amplitude of Bloch oscillations via density-matrix
renormalization-group methods. We apply a generic scaling procedure for the
gap, which allows us to determine the critical points with very high accuracy.
We also study how the fidelity susceptibility behaves across the phase
transition. Furthermore, we show that in the BHM, and in a system of spinless
fermions, the amplitude of Bloch oscillations after a tilt of the lattice
vanishes at the critical points. This indicates that Bloch oscillations can
serve as a tool to detect the transition point in ongoing experiments with
ultracold gases.

Strongly Correlated Electrons;Quantum Gases