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Disorder-Free Localization

Disorder-Free Localization
Author: Adam Smith
Publisher: Springer
Total Pages: 143
Release: 2019-07-01
Genre: Science
ISBN: 3030208516

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This thesis is a contribution at the intersection of a number of active fields in theoretical and experimental condensed matter, particularly those concerned with disordered systems, integrable models, lattice gauge theories, and non-equilibrium quantum dynamics. It contributes an important new facet to our understanding of relaxation in isolated quantum systems by conclusively demonstrating localization without disorder for the first time, answering a long-standing question in this field. This is achieved by introducing a family of models – intimately related to paradigmatic condensed matter models – and studying their non-equilibrium dynamics through a combination of exact analytical mappings and an array of numerical techniques. This thesis also makes contributions relevant to the theory of quantum chaotic behaviour by calculating novel, and often intractable, entanglement measures and out-of-time-ordered correlators. A concrete and feasible proposal is also made for the experimental realization and dynamical study of the family of models, based on currently available technologies.


Anderson Localization and Its Ramifications

Anderson Localization and Its Ramifications
Author: Tobias Brandes
Publisher: Springer Science & Business Media
Total Pages: 446
Release: 2003-09-11
Genre: Science
ISBN: 9783540407850

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The phenomenon of localization of the electronic wave function in a random medium can be regarded as the key manifestation of quantum coherence in a condensed matter system. As one of the most remarkable phenomena in condensed matter physics discovered in the 20th century, the localization problem is an indispensable part of the theory of the quantum Hall effects and rivals superconductivity in its significance as a manifestation of quantum coherence at a macroscopic scale. The present volume, written by some of the leading experts in the field, is intended to highlight some of the recent progress in the field of localization, with particular emphasis on the effect of interactions on quantum coherence. The chapters are written in textbook style and should serve as a reliable and thorough introduction for advanced students or researchers already working in the field of mesoscopic physics.


Disorder-Free Localization

Disorder-Free Localization
Author: Adam Smith
Publisher:
Total Pages: 143
Release: 2019
Genre: Quantum theory
ISBN: 9783030208523

Download Disorder-Free Localization Book in PDF, ePub and Kindle

This thesis is a contribution at the intersection of a number of active fields in theoretical and experimental condensed matter, particularly those concerned with disordered systems, integrable models, lattice gauge theories, and non-equilibrium quantum dynamics. It contributes an important new facet to our understanding of relaxation in isolated quantum systems by conclusively demonstrating localization without disorder for the first time, answering a long-standing question in this field. This is achieved by introducing a family of models - intimately related to paradigmatic condensed matter models - and studying their non-equilibrium dynamics through a combination of exact analytical mappings and an array of numerical techniques. This thesis also makes contributions relevant to the theory of quantum chaotic behaviour by calculating novel, and often intractable, entanglement measures and out-of-time-ordered correlators. A concrete and feasible proposal is also made for the experimental realization and dynamical study of the family of models, based on currently available technologies.


Supersymmetry in Disorder and Chaos

Supersymmetry in Disorder and Chaos
Author: Konstantin Efetov
Publisher: Cambridge University Press
Total Pages: 470
Release: 1999-09-13
Genre: Mathematics
ISBN: 9780521663823

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This book provides a comprehensive treatment of the ideas and applications of supersymmetry.


Introduction to Many-Body Physics

Introduction to Many-Body Physics
Author: Piers Coleman
Publisher: Cambridge University Press
Total Pages: 815
Release: 2015-11-26
Genre: Science
ISBN: 1316432025

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A modern, graduate-level introduction to many-body physics in condensed matter, this textbook explains the tools and concepts needed for a research-level understanding of the correlated behavior of quantum fluids. Starting with an operator-based introduction to the quantum field theory of many-body physics, this textbook presents the Feynman diagram approach, Green's functions and finite-temperature many-body physics before developing the path integral approach to interacting systems. Special chapters are devoted to the concepts of Fermi liquid theory, broken symmetry, conduction in disordered systems, superconductivity and the physics of local-moment metals. A strong emphasis on concepts and numerous exercises make this an invaluable course book for graduate students in condensed matter physics. It will also interest students in nuclear, atomic and particle physics.


50 Years of Anderson Localization

50 Years of Anderson Localization
Author: Elihu Abrahams
Publisher: World Scientific
Total Pages: 610
Release: 2010
Genre: Science
ISBN: 9814299073

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This unique volume celebrates the five decades of the impact of Anderson localization on modern physics. In addition to the historical perspective on its origin, it provides a comprehensive description of the experimental and theoretical aspects of Anderson localization.


Anderson Localization

Anderson Localization
Author: Y. Nagaoka
Publisher: Springer Science & Business Media
Total Pages: 236
Release: 2012-12-06
Genre: Science
ISBN: 3642818412

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This volume contains the proceedings of the Fourth Taniguchi International Symposium on the Theory of Condensed Matter, which was held at Senkari Semi nar House of Kwansei Gakuin Universi~y in Sanda-shi, Japan, during the period of 3-8 November 1981. The topic of the symposium was "Anderson rocalization," one of the most fundamental problems in condensed-matter physics. Since Anderson's classic paper was published in 1958, much theoretical and experimental effort has been performed to study the problem of electron localization in a random potential. Quite recently, Abrahams, Anderson, Licciardello, and Ramakrishnan proposed a scaling theory of the Anderson lo calization which made it possible to perform microscopic investigations. Rapid progress has followed and we are now getting a coherent picture of the behavior of electrons in disordered systems. When we organized the symposium, we asked Dr. Anderson to participate in it and to give a review talk on theoretical aspects of the problem. Though he kindly accepted our invitation, he could not come due to a sudden illness. A review talk was given by Professor Thouless who kindly accepted our request to take the place of Dr. Anderson. Fortunately, Dr. Anderson has since re covered from his illness.


Light Localisation and Lasing

Light Localisation and Lasing
Author: Mher Ghulinyan
Publisher: Cambridge University Press
Total Pages: 261
Release: 2015
Genre: Science
ISBN: 1107038774

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This book presents research on quasi-random and random photonic systems for graduate students and researchers in optics, photonics and optical engineering.


Scattering and Localization of Classical Waves in Random Media

Scattering and Localization of Classical Waves in Random Media
Author: Ping Sheng
Publisher: World Scientific
Total Pages: 660
Release: 1990
Genre: Science
ISBN: 9789971505394

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The past decade has witnessed breakthroughs in the understanding of the wave localization phenomena and its implications for wave multiple scattering in inhomogeneous media. This book brings together review articles written by noted researchers in this field in a tutorial manner so as to give the readers a coherent picture of its status. It would be valuable both as an up-to-date reference for active researchers as well as a readable source for students looking to gain an understanding of the latest results.


50 Years of Anderson Localization

50 Years of Anderson Localization
Author: Elihu Abrahams
Publisher: World Scientific
Total Pages: 612
Release: 2010-06-25
Genre:
ISBN: 9814360880

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In his groundbreaking paper ?Absence of diffusion in certain random lattices (1958)?, Philip W Anderson originated, described and developed the physical principles underlying the phenomenon of the localization of quantum objects due to disorder. Anderson's 1977 Nobel Prize citation featured that paper, which was fundamental for many subsequent developments in condensed matter physics and technical applications. After more than a half century, the subject continues to be of fundamental importance. In particular, in the last 25 years, the phenomenon of localization has proved to be crucial for the understanding of the quantum Hall effect, mesoscopic fluctuations in small conductors, some aspects of quantum chaotic behavior, and the localization and collective modes of electromagnetic and matter waves. This unique and invaluable volume celebrates the five decades of the impact of Anderson localization on modern physics. In addition to the historical perspective on its origin, the volume provides a comprehensive description of the experimental and theoretical aspects of Anderson localization, together with its application in various areas, which include disordered metals and the metal?insulator transition, mesoscopic physics, classical systems and light, strongly-correlated systems, and mathematical models. The volume is edited by E Abrahams, who has been a contributor in the field of localization. A distinguished group of experts, each of whom has left his mark on the developments of this fascinating theory, contribute their personal insights in this volume. They are: A Amir (Weizmann Institute of Science), P W Anderson (Princeton University), G Bergmann (University of Southern California), M Bttiker (University of Geneva), K Byczuk (University of Warsaw & University of Augsburg), J Cardy (University of Oxford), S Chakravarty (University of California, Los Angeles), V Dobrosavljevi? (Florida State University), R C Dynes (University of California, San Diego), K B Efetov (Ruhr University Bochum), F Evers (Karlsruhe Institute of Technology), A M Finkel'stein (Weizmann Institute of Science & Texas A&M University), A Genack (Queens College, CUNY), N Giordano (Purdue University), I V Gornyi (Karlsruhe Institute of Technology), W Hofstetter (Goethe University Frankfurt), Y Imry (Weizmann Institute of Science), B Kramer (Jacobs University Bremen), S V Kravchenko (Northeastern University), A MacKinnon (Imperial College London), A D Mirlin (Karlsruhe Institute of Technology), M Moskalets (NTU ?Kharkiv Polytechnic Institute?), T Ohtsuki (Sophia University), P M Ostrovsky (Karlsruhe Institute of Technology), A M M Pruisken (University of Amsterdam), T V Ramakrishnan (Indian Institute of Science), M P Sarachik (City College, CUNY), K Slevin (Osaka University), T Spencer (Institute for Advanced Study, Princeton), D J Thouless (University of Washington), D Vollhardt (University of Augsburg), J Wang (Queens College, CUNY), F J Wegner (Ruprecht-Karls-University) and P W”lfle (Karlsruhe Institute of Technology).Contents: Thoughts on Localization "(P W Anderson)"Anderson Localization in the Seventies and Beyond "(D Thouless)"Intrinsic Electron Localization in Manganites "(T V Ramakrishnan)"Self-Consistent Theory of Anderson Localization: General Formalism and Applications "(P W”lfle & D Vollhardt)"Anderson Localization and Supersymmetry "(K B Efetov)"Anderson Transitions: Criticality, Symmetries and Topologies "(A D Mirlin et al.)"Scaling of von Neumann Entropy at the Anderson Transition