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

  • Book
  • © 2017

Overview

Authors:
  1. Laurens Vanderstraeten

    1. Department of Physics and Astronomy, University of Ghent , Ghent, Belgium

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  • Nominated as an outstanding Ph.D. thesis by the University of Ghent, Belgium
  • Contributes to a better description and understanding of strongly correlated (entangled) quantum systems
  • Exploits the relatively new formalism of tensor network states to describe entanglement distribution in quantum many-body systems
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Overview

    • Laurens Vanderstraeten
    Pages 1-4

  3. Introduction to Quantum Many-Body Physics

    • Laurens Vanderstraeten
    Pages 5-57

  4. Effective Particles in Quantum Spin Chains: The Framework

    • Laurens Vanderstraeten
    Pages 59-124

  5. Effective Particles in Quantum Spin Chains: Applications

    • Laurens Vanderstraeten
    Pages 125-165

  6. Towards a Particle Theory in Two Dimensions

    • Laurens Vanderstraeten
    Pages 167-202

  7. Back Matter

    Pages 203-219
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Physics and Astronomy, University of Ghent , Ghent, Belgium

    Laurens Vanderstraeten

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