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.

1133679652
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.

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

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

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

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

by Laurens Vanderstraeten

Hardcover(1st ed. 2017)

$139.99 
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Overview

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.


Product Details

ISBN-13: 9783319641904
Publisher: Springer International Publishing
Publication date: 08/11/2017
Series: Springer Theses
Edition description: 1st ed. 2017
Pages: 219
Product dimensions: 6.10(w) x 9.25(h) x (d)

Table of Contents

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

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