# Phase diagram of bipartite entanglement

## TL;DR

This paper explores the entanglement spectrum of large quantum systems, analyzing R'enyi entropies and revealing a phase diagram with two critical lines, advancing understanding of quantum entanglement phases.

## Contribution

It introduces a comprehensive phase diagram for bipartite entanglement, identifying critical lines and analyzing the full entanglement spectrum beyond standard measures.

## Key findings

- Identification of two critical lines in the phase diagram
- Recovery of purity and von Neumann entropy as special cases
- Detailed characterization of the entanglement spectrum

## Abstract

We investigate the features of the entanglement spectrum (distribution of the eigenvalues of the reduced density matrix) of a large quantum system in a pure state. We consider all R\'enyi entropies and recover purity and von Neumann entropy as particular cases. We construct the phase diagram of the theory and unveil the presence of two critical lines.