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Chaos, Wormholes, and Holography

2023
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Release : 2023
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Book Rating : 755/5 ( reviews)

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Book Synopsis Chaos, Wormholes, and Holography by : Jeremy van der Heijden

Download or read book Chaos, Wormholes, and Holography written by Jeremy van der Heijden. This book was released on 2023. Available in PDF, EPUB and Kindle. Book excerpt: "Combining quantum mechanics and general relativity is one of the most important open problems in theoretical physics. A formal approach towards quantizing gravity is given by the gravitational path integral. However, dealing with quantum fluctuations of spacetime itself is in general a very complicated task. In this thesis, I therefore study a simple model of two-dimensional gravity in Anti-de Sitter (AdS) space where it is possible to calculate exactly a class of such quantum fluctuations, so-called Euclidean wormholes, which correspond to geometries with a non-trivial topology. This computation relies on the holographic principle: the idea that AdS gravity is dual to some microscopic quantum theory without gravity, a conformal field theory (CFT), that lives in one dimension less. Surprisingly, the non-trivial surfaces appear to contain important information about this underlying quantum theory: They point to a deep connection between quantum gravity and quantum chaos. To be precise, the results of this thesis show that black holes in two-dimensional AdS space obey the rules of quantum chaos, and that the relevant quantum effects can be realized geometrically in the path integral. This is an important step towards understanding the quantum nature of black holes. Finally, I study the role of geometric phases in the AdS/CFT correspondence, and show that the modular Berry phase in the CFT is holographically dual to a particular geometric quantity in the AdS space, the so-called bulk symplectic form."--

Wormholes in Holography

2022
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Release : 2022
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Book Synopsis Wormholes in Holography by : Antonio F. Rotundo

Download or read book Wormholes in Holography written by Antonio F. Rotundo. This book was released on 2022. Available in PDF, EPUB and Kindle. Book excerpt:

Studies of Traversable Wormholes and Holography

2022
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Release : 2022
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Book Synopsis Studies of Traversable Wormholes and Holography by : Anderson Seigo Waki Misobuchi

Download or read book Studies of Traversable Wormholes and Holography written by Anderson Seigo Waki Misobuchi. This book was released on 2022. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation is based on studies of traversable wormholes within the context of the holographic duality. First, we study the traversability obtained via the introduction of a direct coupling between the two asymptotic boundaries of a non-traversable wormhole and we construct a traversable wormhole with angular momentum. We discuss its dual interpretation and the implications to the information transfer. Second, we study the relation between the Sachdev-Ye-Kitaev (SYK) model and an eternal traversable wormhole with global a AdS2 geometry. We consider a sparse version of the SYK model defined via a regular hypergraph and we numerically simulate a system of two copies of the sparse SYK coupled by a bilinear interaction. We discuss the finite-size effects in this system and obtain the optimal level of sparseness that preserves features of the original SYK model such that it can still be holographically interpreted as a traversable wormhole

Evolution

2023-09-29 Science
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Release : 2023-09-29
Genre : Science
Kind : eBook
Book Rating : 819/5 ( reviews)

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Book Synopsis Evolution by : Somnath Bhattacharyya

Download or read book Evolution written by Somnath Bhattacharyya. This book was released on 2023-09-29. Available in PDF, EPUB and Kindle. Book excerpt: This book reconceptualizes the ancient philosophy of 'dualism' and a 'trinity' applied to classical and quantum nonequilibrium phenomena. In addition to classical mechanics and electrodynamics, a remarkable connection of this philosophy with quantum mechanics is established, which can be useful for quantum computing and the development of quantum artificial intelligence. Packed with the recent theoretical models, quantum simulations of black holes, and experimental observations of quantum phase transitions, this book brings a holistic approach that can be useful to refine the concept of the 'Creation', i.e., the evolution of the Universe from the condensed state of matter, and explain the artificial vision. The approch is: Unique: Connects ancient philosophy, classical and quantum mechanics, materials, and the latest quantum technologies Novelty: High level of scientific interpretation of ancient philosophy, creation, interactions, and disorder Multidisciplinary: Guides students to learn quantum simulations and develop philosophical ideas The book contains over ten years of in-depth research by the author on the ancient eastern (Indian) philosophy and the latest scientific research in condensed matter and quantum technology. This book will simplify the picture of ancient eastern philosophy, which can be read by the general audience, particularly undergraduate/postgraduate students interested in quantum information science without any mathematical treatment. However, some parts of the book will be ideal for senior academicians and professional researchers in both worlds.

Holographic Entanglement Entropy

2017-05-08 Science
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Release : 2017-05-08
Genre : Science
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Book Rating : 735/5 ( reviews)

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Book Synopsis Holographic Entanglement Entropy by : Mukund Rangamani

Download or read book Holographic Entanglement Entropy written by Mukund Rangamani. This book was released on 2017-05-08. Available in PDF, EPUB and Kindle. Book excerpt: 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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