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Special Review: Entanglement in Solvable Many-Particle Models

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Abstract

The five lectures introduce to the description of entanglement in many-particle systems and review the ground-state entanglement features of standard solvable lattice models. This is done using a thermodynamic formulation in which the eigenvalue spectrum of a certain Hamiltonian determines the entanglement properties. The methods to obtain it are discussed, and results, both analytical and numerical, for various cases including time evolution are presented. For reading convenience, a version in single-column format is available as arXiv:1109.0159.

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Acknowledgements

I would like to thank Francisco Alcaraz for the invitation to lecture at the school and the International Institute of Physics for its financial support and the hospitality at Natal. I also thank Ming-Chiang Chung, Viktor Eisler and José Hoyos for a substantial number of figures.

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Authors and Affiliations

  1. Fachbereich Physik, Freie Universität Berlin, Arnimallee 14, 14195, Berlin, Germany

    Ingo Peschel

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  1. Ingo Peschel
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Correspondence to Ingo Peschel.

Additional information

Lecture notes for the Brazilian School on Statistical Mechanics Natal, Brazil, July 18–22, 2011.

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Peschel, I. Special Review: Entanglement in Solvable Many-Particle Models. Braz J Phys 42, 267–291 (2012). https://doi.org/10.1007/s13538-012-0074-1

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