Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model
Abstract
We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid stiffness and superfluid correlations close to the superfluid to glass transition line, obtaining accurate locations of the critical points. By studying the statistics of the exponent of the power-law decay of the correlation, we determine the boundary between the superfluid region and the Bose glass phase in the regime of strong disorder and in the weakly interacting region, not explored numerically before. In the former case our simulations are in agreement with previous Monte Carlo calculations.
Keywords
Cite
@article{arxiv.1510.01074,
title = {Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model},
author = {Matthias Gerster and Matteo Rizzi and Ferdinand Tschirsich and Pietro Silvi and Rosario Fazio and Simone Montangero},
journal= {arXiv preprint arXiv:1510.01074},
year = {2016}
}
Comments
18 pages, 12 figures; some references and two appendices added; appearing in New Journal of Physics focus issue "Strongly Interacting Quantum Gases in One Dimension"