Abstract

This article is intended to be a pedagogical review of the recent studies of quantum entanglement in many-body systems. The basic concepts of entanglement for pure and mixed states are introduced in an intuitive approach. We will see that in the weakly in-teracting BEC and BCS superconductivity theories, the pair of particles with momentum k and −k are entangled but they are not correlated with other pairs. The entanglement vanishes when the interactions go to zero. The debates on the possible relationship be-tween quantum phase transition and quantum entanglement is mentioned. My personal perspective on this issue is discussed and illustrated with a simple example.

Keywords

Quantum entanglementPhysicsMultipartite entanglementSquashed entanglementTheoretical physicsBipartite graphQuantum mechanicsEntanglement witnessMultipartiteBosonW stateStatistical physicsQuantumTheoretical computer science

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Publication Info

Year
2008
Type
article
Volume
80
Issue
2
Pages
517-576
Citations
3553
Access
Closed

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Cite This

Luigi Amico, Rosario Fazio, Andreas Osterloh et al. (2008). Entanglement in many-body systems. Reviews of Modern Physics , 80 (2) , 517-576. https://doi.org/10.1103/revmodphys.80.517

Identifiers

DOI
10.1103/revmodphys.80.517