Entropy-Driven Phase Transitions of Entanglement

TL;DR

This paper investigates how bipartite entanglement behaves at fixed von Neumann entropy, revealing two continuous phase transitions with distinct entanglement spectra that deform classical eigenvalue distributions.

Contribution

It uncovers the existence of two phase transitions in entanglement spectra at fixed entropy, providing new insights into the structure of quantum entanglement.

Findings

Identification of two continuous phase transitions in entanglement spectra

Characterization of entanglement spectrum deformations from classical distributions

Analysis of eigenvalue distribution changes at fixed von Neumann entropy

Abstract

We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the presence of two continuous phase transitions, characterized by different entanglement spectra, which are deformations of classical eigenvalue distributions.