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Cited by 765

The DOI matches its Crossref record; 605 of the 605 references it cites were found in a registry or an index.

Quantum entanglement in condensed matter systems

Open access
Laflorencie, Nicolas·2016·Physics Reports
DOI 10.1016/j.physrep.2016.06.008
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Abstract

This review focuses on the field of quantum entanglement applied to condensed matter physics systems with strong correlations, a domain which has rapidly grown over the last decade. By tracing out part of the degrees of freedom of correlated quantum systems, useful and non-trivial informations can be obtained through the study of the reduced density matrix, whose eigenvalue spectrum (the entanglement spectrum) and the associated Renyi entropies are now well recognized to contains key features. In particular, the celebrated area law for the entanglement entropy of ground-states will be discussed from the perspective of its subleading corrections which encode universal details of various quantum states of matter, e.g. symmetry breaking states or topological order. Going beyond entropies, the study of the low-lying part of the entanglement spectrum also allows to diagnose topological properties or give a direct access to the excitation spectrum of the edges, and may also raise significant questions about the underlying entanglement Hamiltonian. All these powerful tools can be further applied to shed some light on disordered quantum systems where impurity/disorder can conspire with quantum fluctuations to induce non-trivial effects. Disordered quantum spin systems, the Kondo effect, or the many-body localization problem, which have all been successfully (re)visited through the prism of quantum entanglement, will be discussed in details. Finally, the issue of experimental access to entanglement measurement will be addressed, together with its most recent developments.

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Metadata

Authors
Laflorencie, N.
Venue
Physics Reports
Publisher
Elsevier BV
Published
2016-08
Volume
646
Pages
1-59
ISSN
0370-1573 (ISSN-L)
DOI
10.1016/j.physrep.2016.06.008
OpenAlex
W2271921877
Cited by
765
References
605
FWCI
32.07
Type
journal article
Language
en
Open access
green

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