Finite size effect on quantum correlations

TL;DR

This paper explores how finite-size effects influence quantum correlations in holographic systems, revealing contrasting behaviors of entanglement entropy and two-point functions under excitation and condensation.

Contribution

It provides a holographic analysis of finite-size scaling effects on quantum correlations, highlighting the contrasting responses of entanglement entropy and two-point functions to excitations and condensations.

Findings

Excitation increases entanglement entropy.

Condensation decreases entanglement entropy.

Two-point functions decrease with excitation and increase with condensation.

Abstract

We holographically study the finite-size scaling effects on macroscopic and microscopic quantum correlations deformed by excitation and condensation. The excitation (condensation) increases (decreases) the entanglement entropy of the system. We also investigate the two-point correlation function of local operators by calculating the geodesic length connecting two local operators. As opposed to the entanglement entropy case, the excitation (condensation) decreases (increases) the two-point function. This is because the screening effect becomes strong in the background with the large entanglement entropy. We further show that the holographic renormalization leads to the qualitatively same two-point function as the one obtained from the geodesic length.