Effects Of Non Conformal Boundary On Entanglement Entropy
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Effects Of Non Conformal Boundary On Entanglement Entropy
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Author : Andrew James Loveridge
language : en
Publisher:
Release Date : 2018
Effects Of Non Conformal Boundary On Entanglement Entropy written by Andrew James Loveridge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Recent decades have revealed many interesting links between quantum gauge theories, statistical mechanics, and graviation. Entanglement entropy, especially in the context of Gauge/Gravity Duality, has emerged as a useful probe of these relations. In this thesis, we will compute the entanglement entropy in some special cases and assess the results in the context of more general issues. In particular we have in mind spacetimes with boundary and the effect non-conformal boundary physics has on entanglement entropy when the theory would otherwise be conformally invarient. Spacetime boundaries with canonical Neuman or Dirichlet conditions preserve conformal invarience, but "mixed" boundary conditions which interpolate linearly between them can break conformal symmetry and generate interesting Renormalization Group flows even when a theory is free, providing soluble models with nontrivial scale dependence. We compute the (Rindler) entanglement entropy for a free scalar field with mixed boundary conditions in half Minkowski space and in Anti-de Sitter space. In the latter case we also compute an additional geometric contribution, which according to a recent proposal then collectively give the 1/N corrections to the entanglement entropy of the conformal field theory dual. We obtain some exact results in both cases which illustrate monotonic interpolation between ultraviolet and infrared fixed points. This is consistent with recent work on the irreversibility of renormalization group, allowing some assessment of the aforementioned proposal for holographic entanglement entropy and suggesting a generalization of the g-theorem for boundary conformal field theory
Holographic Entanglement Entropy
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Author : Mukund Rangamani
language : en
Publisher: Springer
Release Date : 2017-05-08
Holographic Entanglement Entropy written by Mukund Rangamani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-08 with Science categories.
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.
Field Theories Of Condensed Matter Physics
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Author : Eduardo Fradkin
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-28
Field Theories Of Condensed Matter Physics written by Eduardo Fradkin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-28 with Science categories.
Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.
Photonic Artificial Intelligence
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Author : Aleksandr Raikov
language : en
Publisher: Springer Nature
Release Date :
Photonic Artificial Intelligence written by Aleksandr Raikov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Entanglement In Spin Chains
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Author : Abolfazl Bayat
language : en
Publisher: Springer Nature
Release Date : 2022-09-26
Entanglement In Spin Chains written by Abolfazl Bayat and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-26 with Science categories.
This book covers recent developments in the understanding, quantification, and exploitation of entanglement in spin chain models from both condensed matter and quantum information perspectives. Spin chain models are at the foundation of condensed matter physics and quantum information technologies and elucidate many fundamental phenomena such as information scrambling, quantum phase transitions, and many-body localization. Moreover, many quantum materials and emerging quantum devices are well described by spin chains. Comprising accessible, self-contained chapters written by leading researchers, this book is essential reading for graduate students and researchers in quantum materials and quantum information. The coverage is comprehensive, from the fundamental entanglement aspects of quantum criticality, non-equilibrium dynamics, classical and quantum simulation of spin chains through to their experimental realizations, and beyond into machine learning applications.
Ads3 Cft2 And Holographic Entanglement Entropy
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Author : Jie-qiang Wu
language : en
Publisher: Springer Nature
Release Date : 2019-10-18
Ads3 Cft2 And Holographic Entanglement Entropy written by Jie-qiang Wu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-18 with Science categories.
This book focuses on AdS3/CFT2, addressing different aspects of this correspondence in field theory and in gravity, including entanglement entropy, higher genus partition function, and conformal block. Holographic entanglement entropy is an important area in holographic and quantum information, which implies a deep relation between geometry and quantum entanglement. In this book, the authors use holographic entanglement entropy as a tool to investigate AdS3/CFT2. They study the entanglement entropy at high temperature in field theory and in holographics, and show that the results match each other in classical and one-loop order. In the AdS3/CFT2 system, they examine in detail the correspondence, exploring the higher genus partition function, entanglement entropy in a general system and conformal block, and they find good correspondence in field theory and gravity. The result strongly supports AdS3/CFT2 correspondence. In addition, they develop several important techniques in 2d CFT and 3d gravity, which also offer inspiration for other fields.
Detectors Reference Frames And Time
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Author : Alexander R. H. Smith
language : en
Publisher: Springer
Release Date : 2019-07-03
Detectors Reference Frames And Time written by Alexander R. H. Smith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-03 with Science categories.
This thesis uses the tools of quantum information science to uncover fascinating new insights about the intersection of quantum theory and relativity. It is divided into three self-contained parts, the first of which employs detector models to investigate how the information content of quantum fields depends on spacetime curvature and global spacetime topology. The behavior of Unruh-DeWitt detectors on curved spacetimes are investigated, following which these detectors are used to probe the vacuum state of a scalar field in various topologies. This leads to a generalization of the entanglement harvesting protocol involving detectors in arbitrary curved spacetimes admitting a Wightman function. The second part extends the theory of quantum reference frames to those associated with noncompact groups. Motivated by the pursuit of a relational relativistic quantum theory where the group of reference frames is the Poincaré group, the author then generalizes a communication protocol between two parties lacking a common reference frame to the scenario where the group of transformations of their reference frame is a one-dimensional noncompact Lie group. Finally, the third part, inspired by theories of quantum gravity, generalizes the conditional probability interpretation of time, a proposed mechanism for time to emerge from a fundamentally timeless Universe. While the conditional probability interpretation of time is based upon conditioning a solution to the Wheeler-DeWitt equation on a subsystem of the universe that acts a clock, the author extends this approach to include an interaction between the system being used as a clock and a system whose evolution the clock is tracking.
Large Truncated Toeplitz Matrices Toeplitz Operators And Related Topics
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Author : Dario A. Bini
language : en
Publisher: Birkhäuser
Release Date : 2017-03-21
Large Truncated Toeplitz Matrices Toeplitz Operators And Related Topics written by Dario A. Bini and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-21 with Mathematics categories.
This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Böttcher’s 60th birthday. Albrecht Böttcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Böttcher’s work and brief informal notes on personal encounters with him. The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.
Seventh Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Gravitation And Relativistic Field Theories Proceedings Of The 7th Marcel Grossmann Meeting In 2 Parts
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Author : Ruffini Remo
language : en
Publisher: World Scientific
Release Date : 1997-03-19
Seventh Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Gravitation And Relativistic Field Theories Proceedings Of The 7th Marcel Grossmann Meeting In 2 Parts written by Ruffini Remo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-03-19 with categories.
Since 1975, the triennial Marcel Grossmann Meetings have been organized in order to provide opportunities for discussing recent advances in gravitation, general relativity and relativisitic field theories, emphasizing mathematical foundations, physical predictions, and experimental tests.The proceedings of the Seventh Marcel Grossmann Meeting include the invited papers given at the plenary sessions, the summaries of the parallel sessions, the contributed papers presented at the parallel sessions, and the evening public lectures.The authors of these papers discuss many of the recent theoretical, observational, and experimental developments that have significant implications for the fields of physics, cosmology, and relativistic astrophysics.
Exact Methods In Low Dimensional Statistical Physics And Quantum Computing
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Author : Jesper Jacobsen
language : en
Publisher: OUP Oxford
Release Date : 2010-04-22
Exact Methods In Low Dimensional Statistical Physics And Quantum Computing written by Jesper Jacobsen and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-22 with Science categories.
Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc). These techniques, and in particular those of low-dimensional statistical models, are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book sets these issues into a larger and more coherent theoretical context than is currently available. For instance, understanding the key concepts of quantum entanglement (a measure of information density) necessitates a thorough knowledge of quantum and topological field theory, and integrable models. To achieve this goal, the lectures were given by international leaders in the fields of exactly solvable models in low dimensional condensed matter and statistical physics.
