Anderson Localization In Interacting Quantum Systems

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Anderson Localization and Its Ramifications

Author : Tobias Brandes
Publisher : Springer Science & Business Media
ISBN 13 : 9783540407850
Total Pages : 446 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Anderson Localization and Its Ramifications by : Tobias Brandes

Download or read book Anderson Localization and Its Ramifications written by Tobias Brandes and published by Springer Science & Business Media. This book was released on 2003-09-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

50 Years of Anderson Localization

Author : Elihu Abrahams
Publisher : World Scientific
ISBN 13 : 9814299073
Total Pages : 610 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis 50 Years of Anderson Localization by : Elihu Abrahams

Download or read book 50 Years of Anderson Localization written by Elihu Abrahams and published by World Scientific. This book was released on 2010 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Strongly Interacting Quantum Systems out of Equilibrium

Author : Thierry Giamarchi
Publisher : Oxford University Press
ISBN 13 : 0191080535
Total Pages : 607 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Strongly Interacting Quantum Systems out of Equilibrium by : Thierry Giamarchi

Download or read book Strongly Interacting Quantum Systems out of Equilibrium written by Thierry Giamarchi and published by Oxford University Press. This book was released on 2016-11-17 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last decade new experimental tools and theoretical concepts are providing new insights into collective nonequilibrium behavior of quantum systems. The exquisite control provided by laser trapping and cooling techniques allows us to observe the behavior of condensed bose and degenerate Fermi gases under nonequilibrium drive or after `quenches' in which a Hamiltonian parameter is suddenly or slowly changed. On the solid state front, high intensity short-time pulses and fast (femtosecond) probes allow solids to be put into highly excited states and probed before relaxation and dissipation occur. Experimental developments are matched by progress in theoretical techniques ranging from exact solutions of strongly interacting nonequilibrium models to new approaches to nonequilibrium numerics. The summer school `Strongly interacting quantum systems out of equilibrium' held at the Les Houches School of Physics as its XCIX session was designed to summarize this progress, lay out the open questions and define directions for future work. This books collects the lecture notes of the main courses given in this summer school.

50 Years of Anderson Localization

Author : Elihu Abrahams
Publisher : World Scientific
ISBN 13 : 9814299081
Total Pages : 610 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis 50 Years of Anderson Localization by : Elihu Abrahams

Scattering and Localization of Classical Waves in Random Media

Author : Ping Sheng
Publisher : World Scientific
ISBN 13 : 9789971505394
Total Pages : 660 pages
Book Rating : 4.5/5 (53 download)

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Book Synopsis Scattering and Localization of Classical Waves in Random Media by : Ping Sheng

Download or read book Scattering and Localization of Classical Waves in Random Media written by Ping Sheng and published by World Scientific. This book was released on 1990 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractal Concepts in Condensed Matter Physics

Author : Tsuneyoshi Nakayama
Publisher : Springer Science & Business Media
ISBN 13 : 3662051931
Total Pages : 216 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Fractal Concepts in Condensed Matter Physics by : Tsuneyoshi Nakayama

Download or read book Fractal Concepts in Condensed Matter Physics written by Tsuneyoshi Nakayama and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.

Many-Body Quantum Theory in Condensed Matter Physics

Author : Henrik Bruus
Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus

Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Introduction to Wave Scattering, Localization and Mesoscopic Phenomena

Author : Ping Sheng
Publisher : Springer Science & Business Media
ISBN 13 : 3540291563
Total Pages : 341 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Introduction to Wave Scattering, Localization and Mesoscopic Phenomena by : Ping Sheng

Download or read book Introduction to Wave Scattering, Localization and Mesoscopic Phenomena written by Ping Sheng and published by Springer Science & Business Media. This book was released on 2006-08-25 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves represent an important topic of study in physics, mathematics, and engineering. This volume is a resource book for those interested in understanding the physics underlying nanotechnology and mesoscopic phenomena. It aims to bridge the gap between the textbooks and research frontiers in wave related topics.

Multi-scale Analysis for Random Quantum Systems with Interaction

Author : Victor Chulaevsky
Publisher : Springer Science & Business Media
ISBN 13 : 1461482267
Total Pages : 246 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Multi-scale Analysis for Random Quantum Systems with Interaction by : Victor Chulaevsky

Download or read book Multi-scale Analysis for Random Quantum Systems with Interaction written by Victor Chulaevsky and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction presents the progress that had been recently achieved in this area. The main focus of the book is on a rigorous derivation of the multi-particle localization in a strong random external potential field. To make the presentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd. This book includes the following cutting-edge features: an introduction to the state-of-the-art single-particle localization theory an extensive discussion of relevant technical aspects of the localization theory a thorough comparison of the multi-particle model with its single-particle counterpart a self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model. Required mathematical background for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probability theory. This is an excellent text for a year-long graduate course or seminar in mathematical physics. It also can serve as a standard reference for specialists.

Electronic Phase Transitions

Author : Yu.V. Kopaev
Publisher : Elsevier
ISBN 13 : 0444600396
Total Pages : 353 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Electronic Phase Transitions by : Yu.V. Kopaev

Download or read book Electronic Phase Transitions written by Yu.V. Kopaev and published by Elsevier. This book was released on 2012-12-02 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electronic Phase Transitions deals with topics, which are presently at the forefront of scientific research in modern solid-state theory. Anderson localization, which has fundamental implications in many areas of solid-state physics as well as spin glasses, with its influence on quite different research activities such as neural networks, are two examples that are reviewed in this book. The ab initio statistical mechanics of structural phase transitions is another prime example, where the interplay and connection of two unrelated disciplines of solid-state theory - first principle electronic structure calculations and critical phenomena - has given rise to impressive new insights. Clearly, there is more and more need for accurate, stable numerical simulations of models of interacting electrons, presently discussed with great vigor in connection with high-Tc superconductors where the superconducting transition is close to a magnetic transition, i.e. an antiferromagnetic spin structure. These topics and others are discussed and reviewed by leading experts in the field.

Modern Condensed Matter Physics

Author : Steven M. Girvin
Publisher : Cambridge University Press
ISBN 13 : 110713739X
Total Pages : 720 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Modern Condensed Matter Physics by : Steven M. Girvin

Download or read book Modern Condensed Matter Physics written by Steven M. Girvin and published by Cambridge University Press. This book was released on 2019-02-28 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.

Condensed Matter Field Theory

Author : Alexander Altland
Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Condensed Matter Field Theory by : Alexander Altland

Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Quantum Physics in One Dimension

Author : Thierry Giamarchi
Publisher : Oxford University Press
ISBN 13 : 0198525001
Total Pages : 441 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Quantum Physics in One Dimension by : Thierry Giamarchi

Download or read book Quantum Physics in One Dimension written by Thierry Giamarchi and published by Oxford University Press. This book was released on 2004 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents in a pedagogical yet complete way correlated systems in one dimension. After an introduction to the basic concepts of correlated systems, it gives a step-by-step description of the techniques needed to treat one dimension, and discusses the resulting physics.

Dynamics of Complex Quantum Systems

Author : Vladimir M. Akulin
Publisher : Springer Science & Business Media
ISBN 13 : 940077205X
Total Pages : 683 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Dynamics of Complex Quantum Systems by : Vladimir M. Akulin

Download or read book Dynamics of Complex Quantum Systems written by Vladimir M. Akulin and published by Springer Science & Business Media. This book was released on 2013-12-30 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers together a range of similar problems that can be encountered in different fields of modern quantum physics and that have common features with regard to multilevel quantum systems. The main motivation was to examine from a uniform standpoint various models and approaches that have been developed in atomic, molecular, condensed matter, chemical, laser and nuclear physics in various contexts. The book should help senior-level undergraduate, graduate students and researchers putting particular problems in these fields into a broader scientific context and thereby taking advantage of well-established techniques used in adjacent fields. This second edition has been expanded to include substantial new material (e.g. new sections on Dynamic Localization and on Euclidean Random Matrices and new chapters on Entanglement, Open Quantum Systems, and Coherence Protection). It is based on the author’s lectures at the Moscow Institute of Physics and Technology, at the CNRS Aimé Cotton Laboratory, and on other courses he has given over the last two decades.

Fundamental Problems of Mesoscopic Physics: Interactions and Decoherence

Author : Igor V. Lerner
Publisher : Springer Science & Business Media
ISBN 13 : 1402021925
Total Pages : 375 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Fundamental Problems of Mesoscopic Physics: Interactions and Decoherence by : Igor V. Lerner

Download or read book Fundamental Problems of Mesoscopic Physics: Interactions and Decoherence written by Igor V. Lerner and published by Springer Science & Business Media. This book was released on 2004-08-04 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, held in Granada, Spain, 6-12 September 2003

Physics Of Semiconductors, The - Proceedings Of The 22nd International Conference (In 3 Volumes)

Author : David J Lockwood
Publisher : World Scientific
ISBN 13 : 9814550159
Total Pages : 2858 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Physics Of Semiconductors, The - Proceedings Of The 22nd International Conference (In 3 Volumes) by : David J Lockwood

Download or read book Physics Of Semiconductors, The - Proceedings Of The 22nd International Conference (In 3 Volumes) written by David J Lockwood and published by World Scientific. This book was released on 1995-01-20 with total page 2858 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings review the progress in most aspects of semiconductor physics, including those related to materials, processing and devices. The conference continues the tradition of the ICPS series and these volumes include state-of-the-art lectures. The plenary and invited papers address areas of major interest.These volumes will serve as excellent material for researchers in semiconductor physics and related fields.

Analytic Trends in Mathematical Physics

Author : Houssam Abdul-Rahman
Publisher : American Mathematical Soc.
ISBN 13 : 1470448416
Total Pages : 210 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Analytic Trends in Mathematical Physics by : Houssam Abdul-Rahman

Download or read book Analytic Trends in Mathematical Physics written by Houssam Abdul-Rahman and published by American Mathematical Soc.. This book was released on 2020-01-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Arizona School of Analysis and Mathematical Physics, held from March 5–9, 2018, at the University of Arizona, Tucson, Arizona. A main goal of this school was to introduce graduate students and postdocs to exciting topics of current research that are both influenced by physical intuition and require the use of cutting-edge mathematics. The articles in this volume reflect recent progress and innovative techniques developed within mathematical physics. Two works investigate spectral gaps of quantum spin systems. Specifically, Abdul-Rahman, Lemm, Lucia, Nachtergaele, and Young consider decorated AKLT models, and Lemm demonstrates a finite-size criterion for D D-dimensional models. Bachmann, De Roeck, and Fraas summarize a recent proof of the adiabatic theorem, while Bachmann, Bols, De Roeck, and Fraas discuss linear response for interacting Hall insulators. Models on general graphs are the topic of the articles by Fischbacher, on higher spin XXZ, and by Latushkin and Sukhtaiev, on an index theorem for Schrödinger operators. Probabilistic applications are the focus of the articles by DeMuse and Yin, on exponential random graphs, by Saenz, on KPZ universality, and by Stolz, on disordered quantum spin chains. In all, the diversity represented here is a testament to the enthusiasm this rich field of mathematical physics generates.