Mutual information of excited states and relative entropy of two disjoint subsystems in CFT

TL;DR

This paper investigates the mutual information of excited states and the relative entropy between two disjoint subsystems in conformal field theory, focusing on the small subsystem size limit to understand quantum correlations.

Contribution

It provides new insights into the behavior of mutual information and relative entropy in excited states within CFT, specifically in the small subsystem limit.

Findings

Mutual information of excited states analyzed in the small subsystem limit.

Relative entropy between disjoint subsystems studied in the same limit.

Results enhance understanding of quantum correlations in CFT.

Abstract

In this paper, we first study mutual information of excited states in the small subsystem size limit in generic conformal field theory. We then discuss relative entropy of two disjoint subsystems in the same limit.