Algorithms for entanglement renormalization
Strongly Correlated Electrons
2015-05-13 v4 Other Condensed Matter
Quantum Physics
Abstract
We describe an iterative method to optimize the multi-scale entanglement renormalization ansatz (MERA) 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 1D systems, namely Ising, Potts, XX and Heisenberg models. The potential to compute expected values of local observables, energy gaps and correlators is investigated.
Cite
@article{arxiv.0707.1454,
title = {Algorithms for entanglement renormalization},
author = {G. Evenbly and G. Vidal},
journal= {arXiv preprint arXiv:0707.1454},
year = {2015}
}
Comments
23 pages, 28 figures