Disorder-Free Localization

Disorder-Free Localization PDF Author: Adam Smith
Publisher: Springer
ISBN: 3030208516
Category : Science
Languages : en
Pages : 143

Book Description
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.

Disorder-Free Localization

Disorder-Free Localization PDF Author: Adam Smith
Publisher:
ISBN: 9783030208523
Category : Quantum theory
Languages : en
Pages : 143

Book Description
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 PDF Author: Tobias Brandes
Publisher: Springer Science & Business Media
ISBN: 9783540407850
Category : Science
Languages : en
Pages : 446

Book Description
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.

Nonequilibrium Dynamics in Lattice Gauge Theories: Disorder-free Localization and String Breaking

Nonequilibrium Dynamics in Lattice Gauge Theories: Disorder-free Localization and String Breaking PDF Author: Roberto Verdel Aranda
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description


50 Years of Anderson Localization

50 Years of Anderson Localization PDF Author: Elihu Abrahams
Publisher: World Scientific
ISBN: 9814299073
Category : Science
Languages : en
Pages : 610

Book Description
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.

Supersymmetry in Disorder and Chaos

Supersymmetry in Disorder and Chaos PDF Author: Konstantin Efetov
Publisher: Cambridge University Press
ISBN: 9780521663823
Category : Mathematics
Languages : en
Pages : 470

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

Introduction to Many-Body Physics

Introduction to Many-Body Physics PDF Author: Piers Coleman
Publisher: Cambridge University Press
ISBN: 1316432025
Category : Science
Languages : en
Pages : 815

Book Description
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 PDF Author: Elihu Abrahams
Publisher: World Scientific
ISBN: 9814299065
Category : Science
Languages : en
Pages : 610

Book Description
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.

Scattering and Localization of Classical Waves in Random Media

Scattering and Localization of Classical Waves in Random Media PDF Author: Ping Sheng
Publisher: World Scientific
ISBN: 9789971505394
Category : Science
Languages : en
Pages : 660

Book Description
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.

Quantum Physics in One Dimension

Quantum Physics in One Dimension PDF Author: Thierry Giamarchi
Publisher: Oxford University Press
ISBN: 0198525001
Category : Mathematics
Languages : en
Pages : 441

Book Description
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.