Springer Theses

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

Authors: Vanderstraeten, Laurens

  • 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
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  • ISBN 978-3-319-64191-1
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Hardcover $129.00
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  • ISBN 978-3-319-64190-4
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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.

Table of contents (5 chapters)

  • Overview

    Vanderstraeten, Laurens

    Pages 1-4

  • Introduction to Quantum Many-Body Physics

    Vanderstraeten, Laurens

    Pages 5-57

  • Effective Particles in Quantum Spin Chains: The Framework

    Vanderstraeten, Laurens

    Pages 59-124

  • Effective Particles in Quantum Spin Chains: Applications

    Vanderstraeten, Laurens

    Pages 125-165

  • Towards a Particle Theory in Two Dimensions

    Vanderstraeten, Laurens

    Pages 167-202

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-64191-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-64190-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems
Authors
Series Title
Springer Theses
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-64191-1
DOI
10.1007/978-3-319-64191-1
Hardcover ISBN
978-3-319-64190-4
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIII, 219
Number of Illustrations and Tables
6 b/w illustrations, 48 illustrations in colour
Topics