Journal
PHYSICAL REVIEW B
Volume 79, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.79.144108
Keywords
energy gap; Heisenberg model; Ising model; iterative methods; optimisation; Potts model; quantum entanglement; renormalisation
Funding
- Australian Research Council (APA) [FF0668731, DP0878830]
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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.
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