Phase Transitions of Bipartite Entanglement

P. Facchi, U. Marzolino, G. Parisi, S. Pascazio, and A. Scardicchio
Phys. Rev. Lett. 101, 050502 – Published 30 July 2008

Abstract

We analyze the statistical properties of the entanglement of a large bipartite quantum system. By framing the problem in terms of random matrices and a fictitious temperature, we unveil the existence of two phase transitions, characterized by different spectra of the reduced density matrices.

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  • Received 4 December 2007

DOI:https://doi.org/10.1103/PhysRevLett.101.050502

©2008 American Physical Society

Authors & Affiliations

P. Facchi1,2, U. Marzolino3, G. Parisi3,4, S. Pascazio5,2, and A. Scardicchio6,7

  • 1Dipartimento di Matematica, Università di Bari, I-70125 Bari, Italy
  • 2INFN, Sezione di Bari, I-70126 Bari, Italy
  • 3Dipartimento di Fisica, Università di Roma “La Sapienza”, Piazzale Aldo Moro 2, 00185 Roma, Italy
  • 4Centre for Statistical Mechanics and Complexity (SMC), CNR-INFM, 00185 Roma, Italy INFN, Sezione di Roma, 00185 Roma, Italy
  • 5Dipartimento di Fisica, Università di Bari, I-70126 Bari, Italy
  • 6Princeton Center for Theoretical Physics and Physics Department, Princeton University, Princeton, 08542 New Jersey, USA
  • 7MECENAS, Università Federico II di Napoli, Via Mezzocannone 8, I-80134 Napoli, Italy

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Issue

Vol. 101, Iss. 5 — 1 August 2008

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