2007/03/31 by J. Jordan, R. Orus, G. Vidal +2 · 2 citations
Physics and Astronomy · #cond-mat.str-el #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.101.250602
published as Physical Review Letters 101, 250602 (2008) · 4 pages, 6 figures, 1 table. Revised version, with new diagrams and plots. The results on classical systems can now be found at arXiv:0711.3960
arxiv created 2008/10/02 · arxiv updated 2009/12/01
We present an algorithm to simulate two-dimensional quantum lattice systems in the thermodynamic limit. Our approach builds on the \em projected entangled-pair state algorithm for finite lattice systems [F. Verstraete and J.I. Cirac, cond-mat/0407066] and the infinite \em 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 analysing its second order quantum phase transition.