Algorithms for entanglement renormalization

G. Evenbly and G. Vidal
Phys. Rev. B 79, 144108 – Published 7 April 2009

Abstract

We describe an iterative method to optimize the multiscale entanglement renormalization ansatz for the low-energy subspace of local Hamiltonians on a D-dimensional lattice. For translation-invariant systems the cost of this optimization is logarithmic in the linear system size. Specialized algorithms for the treatment of infinite systems are also described. Benchmark simulation results are presented for a variety of one-dimensional systems, namely, Ising, Potts, XX, and Heisenberg models. The potential to compute expected values of local observables, energy gaps, and correlators is investigated.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
21 More
  • Received 15 December 2008
  • Corrected 13 April 2009

DOI:https://doi.org/10.1103/PhysRevB.79.144108

©2009 American Physical Society

Corrections

13 April 2009

Erratum

Authors & Affiliations

G. Evenbly and G. Vidal

  • School of Physical Sciences, University of Queensland, Brisbane 4072, Australia

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 79, Iss. 14 — 1 April 2009

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×