Authors:
- 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
Part of the book series: Lecture Notes in Physics (LNP, volume 931)
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Table of contents (14 chapters)
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Front Matter
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Quantum Entanglement
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Front Matter
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Holography and Entanglement
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Front Matter
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Entanglement and Quantum Dynamics
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Front Matter
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Quantum Gravity
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Front Matter
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Back Matter
About this book
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.
Keywords
- AdS/CFT Correspondence
- Gauge/Gravity Duality
- Tensor Networks
- CFT entanglement
- Entanglement first law
- Holographic first law
- Eternal black holes
- Quantum entanglement
- Holographic principle
- Quantum quenches
- Conformal Field Theory
- Quantum error correction
- Relative entropy
- Renormalization group
- Ferni surfaces
- Hyperscaling violation
- Gravity duals
- Vaidya-AdS
Authors and Affiliations
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Department of Physics, University of California, Center for Quantum Mathematics and Physics, Davis, USA
Mukund Rangamani
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Yukawa Institute for Theoretical Physics (YITP), Kyoto University, Kyoto, Japan
Tadashi Takayanagi
Bibliographic Information
Book Title: Holographic Entanglement Entropy
Authors: Mukund Rangamani, Tadashi Takayanagi
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-319-52573-0
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-52571-6Published: 09 May 2017
eBook ISBN: 978-3-319-52573-0Published: 08 May 2017
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: IX, 246
Number of Illustrations: 67 b/w illustrations, 66 illustrations in colour
Topics: Quantum Field Theories, String Theory, Condensed Matter Physics, Quantum Information Technology, Spintronics, Mathematical Physics