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Directed loop updates for quantum lattice models

2003; American Physical Society; Volume: 67; Issue: 4 Linguagem: Inglês

10.1103/physreve.67.046701

1538-4519

Olav F. Syljuåsen,

Quantum many-body systems

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.