Entanglement studies of interacting fermionic models

TL;DR

This paper reviews recent Monte Carlo methods for studying entanglement properties in interacting fermionic systems, demonstrating their application to topological insulators and discussing new techniques for exact entanglement Hamiltonian determination.

Contribution

It introduces and applies advanced Monte Carlo techniques to analyze entanglement in interacting fermionic models, including a new method for unbiased entanglement Hamiltonian calculation.

Findings

Computed entanglement entropies and correlations in fermionic models.

Analyzed spin two-point functions of the entanglement Hamiltonian.

Presented a new unbiased Monte Carlo method for entanglement Hamiltonian determination.

Abstract

Recent advances in the field of strongly correlated electron systems allow to access the entanglement properties of interacting fermionic models, by means of Monte Carlo simulations. We briefly review the techniques used in this context to determine the entanglement entropies and correlations of the entanglement Hamiltonian. We further apply these methods to compute the spin two-point function of entanglement Hamiltonian for a stripe embedded into a correlated topological insulator. Further we discuss a recent method that allows an unbiased, numerically exact, direct determination of the entanglement Hamiltonian by means of auxiliary field quantum Monte Carlo simulations.