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

Juan Carrasquilla, Salvatore R. Manmana, Marcos Rigol

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61 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number043606
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume87
Issue number4
DOIs
StatePublished - Apr 8 2013

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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