Holographic Entanglement Entropy

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 conne...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Rangamani, Mukund (Συγγραφέας), Takayanagi, Tadashi (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Σειρά:Lecture Notes in Physics, 931
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Rangamani, Mukund.  |e author. 
245 1 0 |a Holographic Entanglement Entropy  |h [electronic resource] /  |c by Mukund Rangamani, Tadashi Takayanagi. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a IX, 246 p. 133 illus., 66 illus. in color.  |b online resource. 
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490 1 |a Lecture Notes in Physics,  |x 0075-8450 ;  |v 931 
505 0 |a Acknowledgments -- Introduction -- I Quantum Entanglement -- Entanglement in QFT -- Entanglement entropy in CFT2 -- Single interval in CFT2 -- II Holography and entanglement -- Holographic entanglement entropy.-Deriving holographic entanglement proposals -- Properties of holographic entanglement entropy -- III Entanglement and quantum dynamics -- Quantum quenches and entanglement -- Entanglement in excited states -- Holographic many body systems -- Entanglement and renormalization -- IV Quantum Gravity -- Prelude: Entanglement builds Geometry -- Entanglement at large central charge -- Geometry from entanglement -- AdS/CFT and tensor networks. 
520 |a 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. 
650 0 |a Physics. 
650 0 |a Mathematical physics. 
650 0 |a Quantum field theory. 
650 0 |a String theory. 
650 0 |a Condensed matter. 
650 0 |a Quantum computers. 
650 0 |a Spintronics. 
650 1 4 |a Physics. 
650 2 4 |a Quantum Field Theories, String Theory. 
650 2 4 |a Condensed Matter Physics. 
650 2 4 |a Quantum Information Technology, Spintronics. 
650 2 4 |a Mathematical Physics. 
700 1 |a Takayanagi, Tadashi.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319525716 
830 0 |a Lecture Notes in Physics,  |x 0075-8450 ;  |v 931 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-52573-0  |z Full Text via HEAL-Link 
912 |a ZDB-2-PHA 
912 |a ZDB-2-LNP 
950 |a Physics and Astronomy (Springer-11651)