Phase transitions of bipartite entanglement
Quantum Physics
2010-01-30 v2 Statistical Mechanics
High Energy Physics - Theory
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.
Cite
@article{arxiv.0712.0015,
title = {Phase transitions of bipartite entanglement},
author = {P. Facchi and U. Marzolino and G. Parisi and S. Pascazio and A. Scardicchio},
journal= {arXiv preprint arXiv:0712.0015},
year = {2010}
}
Comments
5 pages, 3 figures