Tensor network states and effective particles for low-dimensional quantum spin systems
著者
書誌事項
Tensor network states and effective particles for low-dimensional quantum spin systems
（Springer theses : recognizing outstanding Ph. D. research）
Springer, c2017
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注記
"Doctoral thesis accepted by University of Ghent, Ghent, Belgium"
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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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