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Entanglement in many-body systems

Luigi Amico, Rosario Fazio, Andreas Osterloh, and Vlatko Vedral

Luigi Amico

  • MATIS-CNR-INFM and Dipartimento di Metodologie Fisiche e Chimiche (DMFCI), viale A. Doria 6, 95125 Catania, Italy

Rosario Fazio

  • International School for Advanced Studies (SISSA) via Beirut 2-4, I-34014 Trieste, Italy and NEST-CNR-INFM and Scuola Normale Superiore, I-56126 Pisa, Italy

Andreas Osterloh

  • Institut für Theoretische Physik, Leibniz Universität Hannover, 30167 Hannover, Germany

Vlatko Vedral

  • The School of Physics and Astronomy, University of Leeds, Leeds LS29JT, United Kingdom and Center for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore

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Rev. Mod. Phys. 80, 517 – Published 6 May, 2008

DOI: https://doi.org/10.1103/RevModPhys.80.517

Abstract

Recent interest in aspects common to quantum information and condensed matter has prompted a flurry of activity at the border of these disciplines that were far distant until a few years ago. Numerous interesting questions have been addressed so far. Here an important part of this field, the properties of the entanglement in many-body systems, are reviewed. The zero and finite temperature properties of entanglement in interacting spin, fermion, and boson model systems are discussed. Both bipartite and multipartite entanglement will be considered. In equilibrium entanglement is shown tightly connected to the characteristics of the phase diagram. The behavior of entanglement can be related, via certain witnesses, to thermodynamic quantities thus offering interesting possibilities for an experimental test. Out of equilibrium entangled states are generated and manipulated by means of many-body Hamiltonians.

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Rev. Mod. Phys. 80, 517– Published 6 May, 2008

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