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Thesis

French

ID: <

10670/1.z68253

>

Where these data come from
Entropie d’intrication de régions squelettiques

Abstract

In the last twenty years, the concept of entanglement entropy has taken an important place in the study of N-body quantum systems seen in condensed matter, among others. Entanglement entropy is an entanglement measure between two parts forming a system in a pure quantum state. The study of this entropy allows one to obtain crucial information about N-body quantum systems. In this master’s thesis, we will study the entanglement entropy of so-called skeletal regions, for a harmonic two-dimensional lattice corresponding to a discrete version of a massless relativistic scalar field theory. A skeletal region doesn’t possess a volume, unlike a region said to be full. In the case of a two-dimensional lattice, the skeletal region is defined by a finite chain of sites. We show that the behaviour of entanglement entropy of an unidimensional region differs from the case of a full region (which is two-dimensional). In particular, we show the appearance of new universal coefficients linked to skeletal regions. Our study consists mainly of numerical calculations, although some results are obtained in a semi-analytical manner.

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