Simulation of interacting fermions with entanglement renormalization

TL;DR

This paper introduces a new algorithm extending entanglement renormalization techniques to simulate two-dimensional interacting fermion systems, validated through benchmark calculations on small lattice models.

Contribution

It presents a novel extension of entanglement renormalization methods specifically designed for 2D interacting fermions, with validation on lattice benchmarks.

Findings

Successful simulation of free and interacting fermions on a 6x6 lattice

Validation confirms the algorithm's effectiveness for 2D fermion systems

Benchmark results support the approach's accuracy and potential

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.