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Disorder-Free Localization

  • Book
  • © 2019

Overview

Authors:
  1. Adam Smith

    1. Fakultät für Physik, Technische Universität München, Garching, Germany

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  • Nominated as an outstanding Ph.D. thesis by the University of Cambridge, Cambridge, UK
  • Demonstrates for the first time localization behaviour without the presence of disorder, which was previously thought to be a prerequisite ingredient
  • Relevant to both theorists and experimentalists with connections to many areas of condensed matter physics
  • Utilises a large range of analytic and numerical tools, which are covered in detail

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Introduction

    • Adam Smith
    Pages 1-39

  3. The Model

    • Adam Smith
    Pages 41-54

  4. Localization

    • Adam Smith
    Pages 55-69

  5. Entanglement Properties

    • Adam Smith
    Pages 71-82

  6. Out-of-Time-Ordered Correlators

    • Adam Smith
    Pages 83-96

  7. Interactions

    • Adam Smith
    Pages 97-103

  8. Experimental Proposal

    • Adam Smith
    Pages 105-115

  9. Conclusions and Outlook

    • Adam Smith
    Pages 117-120

  10. Back Matter

    Pages 121-143
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Keywords

About this book

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.

Authors and Affiliations

  • Fakultät für Physik, Technische Universität München, Garching, Germany

    Adam Smith

About the author

Adam Smith completed his doctoral studies at the University of Cambridge UK (with Dr. Dmitry Kovrizhin). Following this he took up a Postdoc position at Imperial College London UK and is now a Postdoc at the Technical University Munich, Germany.

Bibliographic Information

  • Book Title: Disorder-Free Localization

  • Authors: Adam Smith

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-030-20851-6

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-20850-9Published: 10 July 2019

  • Softcover ISBN: 978-3-030-20853-0Published: 14 August 2020

  • eBook ISBN: 978-3-030-20851-6Published: 01 July 2019

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XVII, 143

  • Number of Illustrations: 1 b/w illustrations, 43 illustrations in colour

  • Topics: Condensed Matter Physics, Quantum Physics

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