Holographic Entanglement Entropy

Nonfiction, Science & Nature, Science, Physics, Solid State Physics, Quantum Theory
Cover of the book Holographic Entanglement Entropy by Mukund Rangamani, Tadashi Takayanagi, Springer International Publishing
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Author: Mukund Rangamani, Tadashi Takayanagi ISBN: 9783319525730
Publisher: Springer International Publishing Publication: May 8, 2017
Imprint: Springer Language: English
Author: Mukund Rangamani, Tadashi Takayanagi
ISBN: 9783319525730
Publisher: Springer International Publishing
Publication: May 8, 2017
Imprint: Springer
Language: English

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.

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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.

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