Lecture Notes in Physics

Holographic Entanglement Entropy

Authors: Rangamani, Mukund, Takayanagi, Tadashi

  • Presenting a broad review capturing the developments of the last few years
  • Connects different subjects of theoretical physics: string theory, condensed matter physics and quantum information theory from an innovative viewpoint
  • Provides a common ground for researchers and graduate students from string theory and holography, condensed matter and quantum information
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eBook $44.99
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  • ISBN 978-3-319-52573-0
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  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-319-52571-6
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About this book

This book provides a comprehensive overview of developments in the field of holographic entanglement entropy. Within the context of the AdS/CFT correspondence, it is shown how quantum entanglement is computed by the area of certain extremal surfaces. The general lessons one can learn from this connection are drawn out for quantum field theories, many-body physics, and quantum gravity. An overview of the necessary background material is provided together with a flavor of the exciting open questions that are currently being discussed.
The book is divided into four main parts. In the first part, the concept of entanglement, and methods for computing it, in quantum field theories is reviewed. In the second part, an overview of the AdS/CFT correspondence is given and the holographic entanglement entropy prescription is explained.  In the third part, the time-dependence of entanglement entropy in out-of-equilibrium systems, and applications to many body physics are explored using holographic methods. The last part focuses on the connection between entanglement and geometry. Known constraints on the holographic map, as well as, elaboration of entanglement being a fundamental building block of geometry are explained. 
The book is a useful resource for researchers and graduate students interested in string theory and holography, condensed matter and quantum information, as it tries to connect these different subjects linked by the common theme of quantum entanglement.

Table of contents (14 chapters)

  • Introduction

    Rangamani, Mukund (et al.)

    Pages 1-4

  • Entanglement in QFT

    Rangamani, Mukund (et al.)

    Pages 7-26

  • Entanglement Entropy in CFT2

    Rangamani, Mukund (et al.)

    Pages 27-32

  • Holographic Entanglement Entropy

    Rangamani, Mukund (et al.)

    Pages 35-47

  • Deriving Holographic Entanglement Proposals

    Rangamani, Mukund (et al.)

    Pages 49-64

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-52573-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-319-52571-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Holographic Entanglement Entropy
Authors
Series Title
Lecture Notes in Physics
Series Volume
931
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-52573-0
DOI
10.1007/978-3-319-52573-0
Softcover ISBN
978-3-319-52571-6
Series ISSN
0075-8450
Edition Number
1
Number of Pages
IX, 246
Number of Illustrations and Tables
67 b/w illustrations, 66 illustrations in colour
Topics