TY - JOUR
AB - 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)]. 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.
AU - Jordan, J.
AU - OrĂºs, R.
AU - Vedral, V.
AU - Verstraete, F.
AU - Cirac, J. I.
DA - 2008/12/18/
JF - Phys. Rev. Lett.
PY - 2008
SE - 2008/12/18/
SP - 250602
TI - Classical Simulation of Infinite-Size Quantum Lattice Systems in Two Spatial Dimensions
UR - http://link.aps.org/doi/10.1103/PhysRevLett.101.250602
ER -