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Statistical Benchmarks for Quantum Transport in Complex Systems

From Characterisation to Design

  • Mattia Walschaers

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xx
  2. General Introduction

    1. Front Matter
      Pages 1-1
    2. Mattia Walschaers
      Pages 3-19
    3. Mattia Walschaers
      Pages 21-49
    4. Mattia Walschaers
      Pages 51-74
  3. Single-Particle Quantum Transport

    1. Front Matter
      Pages 75-75
    2. Mattia Walschaers
      Pages 77-143
    3. Mattia Walschaers
      Pages 145-169
    4. Mattia Walschaers
      Pages 171-195
  4. Many-Particle Quantum Transport

    1. Front Matter
      Pages 197-197
    2. Mattia Walschaers
      Pages 199-263
    3. Mattia Walschaers
      Pages 265-373
    4. Mattia Walschaers
      Pages 375-419
  5. General Conclusions and Prospects

    1. Front Matter
      Pages 421-421
    2. Mattia Walschaers
      Pages 423-432
  6. Back Matter
    Pages 433-450

About this book

Introduction

This book introduces a variety of statistical tools for characterising and designing the dynamical features of complex quantum systems. These tools are applied in the contexts of energy transfer in photosynthesis, and boson sampling. In dynamical quantum systems, complexity typically manifests itself via the interference of a rapidly growing number of paths that connect the initial and final states. The book presents the language of graphs and networks, providing a useful framework to discuss such scenarios and explore the rich phenomenology of transport phenomena. As the complexity increases, deterministic approaches rapidly become intractable, which leaves statistics as a viable alternative.

Keywords

Quantum Interference Many-Particle Interference Many-Body Systems Open Quantum Systems Quantum Transport Boson Sampling Non-Equilibrium Statistical Mechanics Quantum Statistical Mechanics Random Matrix Theory Dynamical Quantm Systems

Authors and affiliations

  • Mattia Walschaers
    • 1
  1. 1.Laboratoire Kastler BrosselSorbonne University, CNRS, École Normale Supérieure, and Collège de FranceParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-93151-7
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-93150-0
  • Online ISBN 978-3-319-93151-7
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site