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

Laurens Vanderstraeten (Autor)

Buch | Softcover

XIII, 219 Seiten

2018 | 1. Softcover reprint of the original 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-87745-7 (ISBN)

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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.

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.

Erscheint lt. Verlag	11.8.2018
Reihe/Serie	Springer Theses
Zusatzinfo	XIII, 219 p. 54 illus., 48 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	367 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Technik ► Elektrotechnik / Energietechnik
	Technik ► Maschinenbau
Schlagworte	Density-Matrix • Low-Dimensional Quantum Matter • Matrix Product States (MPS) • Projected Entangled-Pair States (PEPS) • Quasiparticle Excitations • Renormalization Group (DMRG) • Strongly-Correlated Quantum Systems • Tensor Network States
ISBN-10	3-319-87745-3 / 3319877453
ISBN-13	978-3-319-87745-7 / 9783319877457
Zustand	Neuware