Accurate determination of the superfluid-insulator transition in the one-dimensional Bose-Hubbard model

TL;DR

This paper accurately determines the superfluid-insulator transition point in the 1D Bose-Hubbard model using an advanced numerical method, surpassing previous accuracy levels.

Contribution

It introduces a high-precision numerical approach based on the infinite system time evolving block decimation algorithm for phase transition detection.

Findings

Transition point determined with unprecedented accuracy

Method successfully tested in challenging cases

Improves upon existing computational techniques

Abstract

The quantum phase transition point between the insulator and the superfluid phase at unit filling factor of the infinite one-dimensional Bose-Hubbard model is numerically computed with a high accuracy, better than current state of the art calculations. The method uses the infinite system version of the time evolving block decimation algorithm, here tested in a challenging case.