Directed loop updates for quantum lattice models

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Apr;67(4 Pt 2):046701. doi: 10.1103/PhysRevE.67.046701. Epub 2003 Apr 3.

Abstract

This article outlines how the quantum Monte Carlo directed loop update recently introduced can be applied to a wide class of quantum lattice models. Several models are considered: spin-s XXZ models with longitudinal and transverse magnetic fields, boson models with two-body interactions, and one-dimensional spinful fermion models. Expressions are given for the parameter regimes where very efficient "no-bounce" quantum Monte Carlo algorithms can be found.