1212.2219 (Juan Carrasquilla et al.)

Scaling of the gap, fidelity susceptibility, and Bloch oscillations
across the superfluid to Mott insulator transition in the one-dimensional
Bose-Hubbard model    [PDF]

Juan Carrasquilla, Salvatore R. Manmana, Marcos Rigol

We investigate the interaction induced superfluid to Mott insulator transition in the one-dimensional (1D) 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 (DMRG) 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.

View original: http://arxiv.org/abs/1212.2219