title: Classical simulation of infinite-size quantum lattice systems in two spatial dimensions.
abstract: We present an algorithm to simulate two-dimensional quantum lattice systems in the thermodynamic limit. Our approach builds on the projected entangled-pair state algorithm for finite lattice systems [F. Verstraete and J. I. Cirac, arxiv:cond-mat/0407066] and the infinite time-evolving block decimation algorithm for infinite one-dimensional lattice systems [G. Vidal, Phys. Rev. Lett. 98, 070201 (2007)10.1103/PhysRevLett.98.070201]. The present algorithm allows for the computation of the ground state and the simulation of time evolution in infinite two-dimensional systems that are invariant under translations. We demonstrate its performance by obtaining the ground state of the quantum Ising model and analyzing its second order quantum phase transition.
authors.affiliation: School of Physical Sciences, The University of Queensland, QLD 4072, Australia.
authors.forename: J
authors.initials: J
authors.lastname: Jordan
authors.forename: R
authors.initials: R
authors.lastname: Orús
authors.forename: G
authors.initials: G
authors.lastname: Vidal
authors.forename: F
authors.initials: F
authors.lastname: Verstraete
authors.forename: J I
authors.initials: JI
authors.lastname: Cirac