Tensor Network States And Effective Particles For Low-dimensional Quantum Spin Systems (springer Theses)
by Laurens Vanderstraeten /
2017 / English / PDF
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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.
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.