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

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.

List of contents

Introduction and Overview.- Quantum Many-Body Physics.- E ective Particles in Quantum Spin Chains: The Framework.- E ective Particles in Quantum Spin Chains: Applications.- Towards a Particle Theory in Two Dimensions.

Summary

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

Product details

• Authors: Laurens Vanderstraeten
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2017
• EAN: 9783319641904
• ISBN: 978-3-31-964190-4
• No. of pages: 219
• Dimensions: 165 mm x 17 mm x 241 mm
• Weight: 467 g
• Illustrations: XIII, 219 p. 54 illus., 48 illus. in color.
• Series: Springer Theses; Springer Theses
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; B, Materialwissenschaft, Quantum Physics, Quantum physics (quantum mechanics & quantum field theory), Physics and Astronomy, Electronic devices & materials, Quantum computers, Strongly Correlated Systems, Superconductivity, Superconductivity, Superconductors, Spintronics, Quantum Information Technology, Spintronics