Entanglement Hamiltonian of Interacting Fermionic Models

TL;DR

This paper introduces a quantum Monte Carlo method to directly compute the entanglement Hamiltonian in interacting fermionic systems, demonstrated on 1D Hubbard models, revealing its temperature dependence.

Contribution

The paper presents a novel auxiliary field quantum Monte Carlo technique for directly determining the entanglement Hamiltonian in interacting fermionic models.

Findings

Successful implementation on 1D Hubbard chain and two-leg ladder

Analysis of entanglement Hamiltonian evolution with temperature

Advancement in calculating entanglement properties in strongly correlated systems

Abstract

Recent numerical advances in the field of strongly correlated electron systems allow the calculation of the entanglement spectrum and entropies for interacting fermionic systems. An explicit determination of the entanglement (modular) Hamiltonian has proven to be a considerably more difficult problem, and only a few results are available. We introduce a technique to directly determine the entanglement Hamiltonian of interacting fermionic models by means of auxiliary field quantum Monte Carlo simulations. We implement our method on the one-dimensional Hubbard chain partitioned into two segments and on the Hubbard two-leg ladder partitioned into two chains. In both cases, we study the evolution of the entanglement Hamiltonian as a function of the physical temperature.