Entropy-Driven Phase Transitions of Entanglement

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.

5 pages, 5 figures

References in corpus (2)

• Aspects of generic entanglement
• Statistical distribution of quantum entanglement for a random bipartite state

Cited by in corpus (25)

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• Symmetry-resolved Page curves
• Entanglement distribution in the Quantum Symmetric Simple Exclusion Process
• A Brief Overview of Bipartite and Multipartite Entanglement Measures
• A shortcut through the Coulomb gas method for spectral linear statistics on random matrices
• Entanglement Typicality
• Large deviations of radial statistics in the two-dimensional one-component plasma
• Truncated linear statistics associated with the top eigenvalues of random matrices
• Linear Statistics of Random Matrix Ensembles at the Spectrum Edge Associated with the Airy Kernel
• Third-order phase transition: random matrices and screened Coulomb gas with hard walls
• Joint statistics of quantum transport in chaotic cavities
• Fluctuations and first-passage properties of systems of Brownian particles with reset
• Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition
• Phase diagram of bipartite entanglement
• Volume of the set of LOCC-convertible quantum states
• Quantum Random State Generation with Predefined Entanglement Constraint
• Interference in a two-mode Bose system with $N$ particles is typical
• General truncated linear statistics for the top eigenvalues of random matrices
• Generic Entanglement Entropy for Quantum States with Symmetry
• A large-N approximated field theory for multipartite entanglement
• Typical observables in a two-mode Bose system
• Large deviations of spread measures for Gaussian matrices
• Feynman graphs and the large dimensional limit of multipartite entanglement
• Probabilities of moderately atypical fluctuations of the size of a swarm of Brownian Bees
• Entanglement transition in a cluster spin chain coupled with free spins