Universal Finite-Size Corrections of the Entanglement Entropy of Quantum Ladders and the Entropic Area Law

TL;DR

This paper studies how the entanglement entropy of quantum ladder systems scales with size at criticality, revealing universal finite-size corrections linked to the models' central charge and gapless excitations.

Contribution

It proposes a universal conjecture for the finite-size scaling of entanglement entropy in critical ladders, verified across multiple models, and links it to the entropic area law in 2D systems.

Findings

Finite-size corrections are universal and related to the central charge.

The logarithmic correction's prefactor depends on the number of gapless branches.

Scaling analysis can indicate violations of the entropic area law in 2D systems.

Abstract

We investigate the finite-size corrections of the entanglement entropy of critical ladders and propose a conjecture for its scaling behavior. The conjecture is verified for free fermions, Heisenberg and quantum Ising ladders. Our results support that the prefactor of the logarithmic correction of the entanglement entropy of critical ladder models is universal and it is associated with the central charge of the one-dimensional version of the models and with the number of branches associated with gapless excitations. Our results suggest that it is possible to infer whether there is a violation of the entropic area law in two-dimensional critical systems by analyzing the scaling behavior of the entanglement entropy of ladder systems, which are easier to deal.