Entanglement Between Noncomplementary Parts of Many-Body Systems

  • Hannu Christian Wichterich

Part of the Springer Theses book series (Springer Theses, volume 1)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Hannu Christian Wichterich
    Pages 1-14
  3. Hannu Christian Wichterich
    Pages 81-82
  4. Back Matter
    Pages 83-113

About this book

Introduction

This thesis investigates the structure and behaviour of entanglement, the purely quantum mechanical part of correlations, in many-body systems, employing both numerical and analytical techniques at the interface of condensed matter theory and quantum information theory. Entanglement can be seen as a precious resource which, for example, enables the noiseless and instant transmission of quantum information, provided the communicating parties share a sufficient "amount" of it. Furthermore, measures of entanglement of a quantum mechanical state are perceived as useful probes of collective properties of many-body systems. For instance, certain measures are capable of detecting and classifying ground-state phases and, particularly, transition (or critical) points separating such phases. Chapters 2 and 3 focus on entanglement in many-body systems and its use as a potential resource for communication protocols. They address the questions of how a substantial amount of entanglement can be established between distant subsystems, and how efficiently this entanglement could be "harvested" by way of measurements. The subsequent chapters 4 and 5 are devoted to universality of entanglement between large collections of particles undergoing a quantum phase transition, where, despite the enormous complexity of these systems, collective properties including entanglement no longer depend crucially on the microscopic details.

 

 

Keywords

Density matrix renormalization group Emergent properties thesis Entanglement thesis Mixed state entanglement Prize winning physics thesis Prize winning thesis Quantum phase transitions Quantum quench Quantum spin chains

Authors and affiliations

  • Hannu Christian Wichterich
    • 1
  1. 1., Department of Physics and AstronomyUniversity College LondonLondonUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-19342-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-19341-5
  • Online ISBN 978-3-642-19342-2
  • About this book