Algorithms for entanglement renormalization

Details Algorithms for entanglement renormalization Algorithms for entanglement renormalization

2007-07-10

arxiv.org/abs/0707.1454v4

Phys. Rev. B 79, 144108 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

23 pages, 28 figures

Scientific paper

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.

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