Directed Loop Updates for Quantum Lattice Models

Details Directed Loop Updates for Quantum Lattice Models Directed Loop Updates for Quantum Lattice Models

2002-11-22

arxiv.org/abs/cond-mat/0211513v1

Phys. Rev. E. 67, 046701 (2003)

Physics

Condensed Matter

Statistical Mechanics

18 pages, 19 figures

Scientific paper

10.1103/PhysRevE.67.046701

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 1D spinful fermion models. Expressions are given for the parameter regimes were very efficient "no-bounce" quantum Monte Carlo algorithms can be found.

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