Physics – Quantum Physics
Scientific paper
2007-11-30
Phys. Rev. Lett. 101, 050502 (2008)
Physics
Quantum Physics
5 pages, 3 figures
Scientific paper
10.1103/PhysRevLett.101.050502
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.
Facchi Paolo
Marzolino Ugo
Parisi Giorgio
Pascazio Saverio
Scardicchio Antonello
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