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Cited by 752Quantum many-body systemsBlack Holes and Theoretical PhysicsQuantum Information and Cryptography

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Entanglement entropy in free quantum field theory

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Casini, H, Huerta, M·2009·Journal of Physics A: Mathematical and Theoretical
DOI 10.1088/1751-8113/42/50/504007
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Abstract

In this review we first introduce the general methods to calculate the entanglement entropy for free fields, within the Euclidean and the real time formalisms. Then we describe the particular examples which have been worked out explicitly in two, three and more dimensions.

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Crossref · 10.1088/1751-8113/42/50/504007

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  • For a quantum field theory, the von Neumann entropy of some region can be computed by considering n copies of the original theory and choosing boundary conditions that connect the various copies inside the interval in a cyclic way.

    “In particular, for a quantum field theory the von Neumann entropy of some region can be computed by considering n copies of the original theory and choosing boundary conditions that connect the various copies inside the interval in a cyclic way, see e.g. [43] for a review.”

    From Replica wormholes and the entropy of Hawking radiation (2020) · cites this paper as [43]

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Metadata

Authors
Casini, H., & Huerta, M.
ORCID
Venue
Journal of Physics A: Mathematical and Theoretical
Publisher
IOP Publishing
Published
2009-12-02
Volume
42
Issue
50
Pages
504007
ISSN
  • 1751-8113 (ISSN-L)
  • 1751-8121
DOI
10.1088/1751-8113/42/50/504007
OpenAlex
W2165573852
Cited by
752
References
7
Citations by year
2026: 42 · 2025: 55 · 2024: 51 · 2023: 55 · 2022: 60 · 2021: 81 · 2020: 86 · 2019: 50 · 2018: 41 · 2017: 40 · 2016: 36 · 2015: 47 · 2014: 34 · 2013: 26 · 2012: 17
FWCI
8.92
Type
journal article
Language
en
Open access
Locations
  • Journal of Physics A Mathematical and Theoretical (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
Keywords
entanglement entropy, free quantum field theory, real-time formalism, quantum field theory in curved spacetime, two-dimensional field theory, three-dimensional field theory, higher-dimensional field theory

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