Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction
Abstract
An extension of the projected entangled-pair states (PEPS) algorithm to infinite systems, known as the iPEPS algorithm, was recently proposed to compute the ground state of quantum systems on an infinite two-dimensional lattice. Here we investigate a modification of the iPEPS algorithm, where the environment is computed using the corner transfer matrix renormalization group (CTMRG) method, instead of using one-dimensional transfer matrix methods as in the original proposal. We describe a variant of the CTMRG that addresses different directions of the lattice independently, and use it combined with imaginary time evolution to compute the ground state of the two-dimensional quantum Ising model. Near criticality, the modified iPEPS algorithm is seen to provide a better estimation of the order parameter and correlators.
Keywords
Cite
@article{arxiv.0905.3225,
title = {Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction},
author = {Roman Orus and Guifre Vidal},
journal= {arXiv preprint arXiv:0905.3225},
year = {2013}
}
Comments
5 pages, 5 figures, 1 table, revised version, accepted in PRB