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Author: Sean A. Hartnoll
Publisher: MIT Press
ISBN: 0262348020
Category : Science
Languages : en
Pages : 408
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Book Description
A comprehensive overview of holographic methods in quantum matter, written by pioneers in the field. This book, written by pioneers in the field, offers a comprehensive overview of holographic methods in quantum matter. It covers influential developments in theoretical physics, making the key concepts accessible to researchers and students in both high energy and condensed matter physics. The book provides a unique combination of theoretical and historical context, technical results, extensive references to the literature, and exercises. It will give readers the ability to understand the important problems in the field, both those that have been solved and those that remain unsolved, and will enable them to engage directly with the current literature. The book describes a particular interface between condensed matter physics, gravitational physics, and string and quantum field theory made possible by holographic duality. The chapters cover such topics as the essential workings of the holographic correspondence; strongly interacting quantum matter at a fixed commensurate density; compressible quantum matter with a variable density; transport in quantum matter; the holographic description of symmetry broken phases; and the relevance of the topics covered to experimental challenges in specific quantum materials. Holographic Quantum Matter promises to be the definitive presentation of this material.
Author: Sean A. Hartnoll
Publisher: MIT Press
ISBN: 0262348020
Category : Science
Languages : en
Pages : 408
Get Book
Book Description
A comprehensive overview of holographic methods in quantum matter, written by pioneers in the field. This book, written by pioneers in the field, offers a comprehensive overview of holographic methods in quantum matter. It covers influential developments in theoretical physics, making the key concepts accessible to researchers and students in both high energy and condensed matter physics. The book provides a unique combination of theoretical and historical context, technical results, extensive references to the literature, and exercises. It will give readers the ability to understand the important problems in the field, both those that have been solved and those that remain unsolved, and will enable them to engage directly with the current literature. The book describes a particular interface between condensed matter physics, gravitational physics, and string and quantum field theory made possible by holographic duality. The chapters cover such topics as the essential workings of the holographic correspondence; strongly interacting quantum matter at a fixed commensurate density; compressible quantum matter with a variable density; transport in quantum matter; the holographic description of symmetry broken phases; and the relevance of the topics covered to experimental challenges in specific quantum materials. Holographic Quantum Matter promises to be the definitive presentation of this material.
Author: Jan Zaanen
Publisher: Cambridge University Press
ISBN: 1107080088
Category : Science
Languages : en
Pages : 587
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Book Description
A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.
Author: Mukund Rangamani
Publisher: Springer
ISBN: 3319525735
Category : Science
Languages : en
Pages : 246
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Book Description
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.
Author: Subir Sachdev
Publisher: Cambridge University Press
ISBN: 113950021X
Category : Science
Languages : en
Pages : 521
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Book Description
Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.
Author: Bei Zeng
Publisher: Springer
ISBN: 1493990845
Category : Computers
Languages : en
Pages : 364
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Book Description
This book approaches condensed matter physics from the perspective of quantum information science, focusing on systems with strong interaction and unconventional order for which the usual condensed matter methods like the Landau paradigm or the free fermion framework break down. Concepts and tools in quantum information science such as entanglement, quantum circuits, and the tensor network representation prove to be highly useful in studying such systems. The goal of this book is to introduce these techniques and show how they lead to a new systematic way of characterizing and classifying quantum phases in condensed matter systems. The first part of the book introduces some basic concepts in quantum information theory which are then used to study the central topic explained in Part II: local Hamiltonians and their ground states. Part III focuses on one of the major new phenomena in strongly interacting systems, the topological order, and shows how it can essentially be defined and characterized in terms of entanglement. Part IV shows that the key entanglement structure of topological states can be captured using the tensor network representation, which provides a powerful tool in the classification of quantum phases. Finally, Part V discusses the exciting prospect at the intersection of quantum information and condensed matter physics – the unification of information and matter. Intended for graduate students and researchers in condensed matter physics, quantum information science and related fields, the book is self-contained and no prior knowledge of these topics is assumed.
Author: Martin Ammon
Publisher: Cambridge University Press
ISBN: 1107010349
Category : Juvenile Nonfiction
Languages : en
Pages : 549
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Book Description
The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.
Author: Jude Currivan
Publisher: Simon and Schuster
ISBN: 1620556618
Category : Body, Mind & Spirit
Languages : en
Pages : 272
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Book Description
How holographic patterns of information underlie our physical reality • 2017 Nautilus Silver Award • Includes myriad evidence from a wide range of cutting-edge scientific discoveries showing our Universe is an interconnected hologram of information • Explains how consciousness is a major component of the cosmic hologram of information, making us both manifestations and co-creators of our reality • Reconciles Quantum Mechanics and Einstein’s Theory of Relativity by showing that energy-matter and space-time are complementary expressions of information Our understanding of the Universe is about to transform at all levels, from the tiniest Planck scale to the vast reaches of space. Recent scientific discoveries show that the information that upholds all of our modern technologies is exactly the same as the universal in-formation that underpins, pervades, and is all we call physical reality. Exploring how information is more fundamental than energy, matter, space, or time, Jude Currivan, Ph.D., examines the latest research across many fields of study and many scales of existence to show how our Universe is in-formed and holographically manifested. She explains how the fractal in-formational patterns that guide behavior at the atomic level also guide the structure of galactic clusters in space. She demonstrates how the in-formational relationships that underlie earthquakes are the same as those that play out during human conflicts. She shows how cities grow in the same in-formational ways that galaxies evolve and how the dynamic in-formational forms that pervade ecosystems are identical to the informational structures of the Internet and our social behaviors. Demonstrating how information is physically real, the author explores how consciousness connects us to the many interconnected layers of universal in-formation, making us both manifestations and co-creators of the cosmic hologram of reality. She explains how Quantum Mechanics and Einstein’s Theory of Relativity can at last be reconciled if we consider energy-matter and space-time as complementary expressions of information, and she explores how the cosmic hologram underlies the true origin of species and our own evolution. Concurring too with ancient spiritual wisdom, the author offers solid evidence that consciousness is not something we “have” but the fundamental nature of what we and the entire Universe are. With this understanding, we can each transform our own lives and help co-create and in-form the world around us.
Author: Leo Rodriguez
Publisher: Morgan & Claypool Publishers
ISBN: 1643274767
Category : Science
Languages : en
Pages : 122
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Book Description
Holographic dualities are at the forefront of contemporary physics research, peering into the fundamental nature of our universe and providing best attempt answers to humankind's bold questions about basic physical phenomena. Yet, the concepts, ideas and mathematical rigors associated with these dualities have long been reserved for the specific field researchers and experts. This book shatters this long held paradigm by bringing several aspects of holography research into the class room, starting at the college physics level and moving up from there.
Author: Horatiu Nastase
Publisher: Cambridge University Press
ISBN: 1316851648
Category : Science
Languages : en
Pages :
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Book Description
The discovery of a duality between Anti-de Sitter spaces (AdS) and Conformal Field Theories (CFT) has led to major advances in our understanding of quantum field theory and quantum gravity. String theory methods and AdS/CFT correspondence maps provide new ways to think about difficult condensed matter problems. String theory methods based on the AdS/CFT correspondence allow us to transform problems so they have weak interactions and can be solved more easily. They can also help map problems to different descriptions, for instance mapping the description of a fluid using the Navier–Stokes equations to the description of an event horizon of a black hole using Einstein's equations. This textbook covers the applications of string theory methods and the mathematics of AdS/CFT to areas of condensed matter physics. Bridging the gap between string theory and condensed matter, this is a valuable textbook for students and researchers in both fields.
Author: Gary T. Horowitz
Publisher: Cambridge University Press
ISBN: 1107013453
Category : Science
Languages : en
Pages : 437
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Book Description
The first book devoted to black holes in more than four dimensions, for graduate students and researchers.
