Phase transitions of bipartite entanglement
P. Facchi, U. Marzolino, G. Parisi, S. Pascazio, A. Scardicchio
TL;DR
This paper investigates phase transitions in bipartite entanglement using a random matrix model, revealing two distinct phase transitions characterized by different spectral properties of the density matrices.
Contribution
It introduces a novel random matrix approach to analyze bipartite entanglement, uncovering two unexpected phase transitions with distinct spectral features.
Findings
Identification of two phase transitions in bipartite entanglement
Characterization of one phase by random surface statistical mechanics
Discovery of a second-order phase transition in the system
Abstract
We study a random matrix model for the statistical properties of the purity of a bipartite quantum system at a finite (fictitious) temperature. This enables us to write the generating function for the cumulants, for both balanced and unbalanced bipartitions. It also unveils an unexpected feature of the system, namely the existence of two phase transitions, characterized by different spectra of the density matrices. One of the critical phases is described by the statistical mechanics of random surfaces, the other is a second-order phase transition.
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