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Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems

  • Laurens Vanderstraeten

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Laurens Vanderstraeten
    Pages 1-4
  3. Laurens Vanderstraeten
    Pages 5-57
  4. Laurens Vanderstraeten
    Pages 59-124
  5. Laurens Vanderstraeten
    Pages 125-165
  6. Laurens Vanderstraeten
    Pages 167-202
  7. Back Matter
    Pages 203-219

About this book

Introduction

This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions. Combining these developments, it  subsequently uses the formalism of tensor network states to derive an effective particle description for one- and two-dimensional spin systems that exhibit strong quantum correlations. These techniques arise from the combination of two themes in many-particle physics: (i) the concept of quasiparticles as the effective low-energy degrees of freedom in a condensed-matter system, and (ii) entanglement as the characteristic feature for describing quantum phases of matter. Whereas the former gave rise to the use of effective field theories for understanding many-particle systems, the latter led to the development of tensor network states as a description of the entanglement distribution in quantum low-energy states.

Keywords

Tensor Network States Low-Dimensional Quantum Matter Quasiparticle Excitations Matrix Product States (MPS) Projected Entangled-Pair States (PEPS) Density-Matrix Renormalization Group (DMRG) Strongly-Correlated Quantum Systems

Authors and affiliations

  • Laurens Vanderstraeten
    • 1
  1. 1.Department of Physics and AstronomyUniversity of Ghent GhentBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-64191-1
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-64190-4
  • Online ISBN 978-3-319-64191-1
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site
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