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Ground-state properties of quantum many-body systems: entangled-plaquette states and variational Monte Carlo

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Published 24 August 2009 Published under licence by IOP Publishing Ltd
, , Citation F Mezzacapo et al 2009 New J. Phys. 11 083026 DOI 10.1088/1367-2630/11/8/083026

1367-2630/11/8/083026

Abstract

We propose a new ansatz for the ground-state wave function of quantum many-body systems on a lattice. The key idea is to cover the lattice with plaquettes and obtain a state whose configurational weights can be optimized by means of a variational Monte Carlo algorithm. Such a scheme applies to any dimension, without any 'sign' instability. We show results for various two-dimensional spin models (including frustrated ones). A detailed comparison with available exact results, as well as with variational methods based on different ansatze, is offered. In particular, our numerical estimates are in quite good agreement with exact ones for unfrustrated systems, and compare favorably to other methods for frustrated ones.

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