Half-Chain Entanglement Entropy in the One-Dimensional Spinless Fermion Model

TL;DR

This paper computes the ground state entanglement entropy in a 1D spinless fermion model using matrix product states and tensor network techniques, identifying critical regions consistent with prior studies.

Contribution

It introduces an efficient method to calculate entanglement entropy in the model using infinite TEBD and bond dimension scaling, confirming critical behavior.

Findings

Identifies the critical region via entanglement entropy scaling.

Uses matrix product states for efficient ground state approximation.

Results align with previous criticality findings.

Abstract

We calculate the half-chain entanglement entropy of the ground state in the one-dimensional spinless fermion model. Considering a tiny corner of the Hilbert space represented by matrix product states, we efficiently find the ground state by the infinite time-evolving block decimation. The Schmidt coefficients are used to determine the half-chain entanglement entropy. Using the bond dimension scaling of the half-chain entanglement entropy, we find the critical region, which is consistent with the previous results.