Simulation of interacting fermions with entanglement renormalization

Abstract

We propose and test an algorithm to simulate a lattice system of interacting fermions in two spatial dimensions. The approach is an extension of the entanglement renormalization technique [Phys. Rev. Lett. 99, 220405 (2007)] and the related multi-scale entanglement renormalization ansatz. Benchmark calculations for free and interacting fermions on a lattice of $6\times 6$ sites and periodic boundary conditions confirm the validity of this proposal.

4 pages, 6 figures, revised version

References in corpus (4)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• A class of quantum many-body states that can be efficiently simulated
• Fermionic multi-scale entanglement renormalization ansatz
• Contraction of fermionic operator circuits and the simulation of strongly correlated fermions

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