Soutenance de thèse

Fan Yang (groupe Matière condensée)

Soutiendra publiquement ses travaux de thèse intitulés

"Topological Majorana Fermion Models and New Applications"

dirigés par Karyn Le Hur

Soutenance prévue le lundi 21 Septembre 2020 à 14h30

Lieu : viso conférence via zoom (https://zoom.us/j/91425257071)

Abstract

We present a theoretical study of topological models hosting Majorana fermion which is its own anti-particle, with relevant probe of quantum entanglement and experimental protocol for quantum engineering in cQED. For the first part, we focus on Kitaev spin liquids that can be exactly solved in a Majorana fermion representation. We introduce valence bond fluctuations to characterize phase transitions between Abelian and non-Abelian phases, and find a general relation with the entanglement entropy. To simulate these many-body Majorana states, we propose a driven superconducting box circuit with generalizations to coupled box ensembles. In the second part, by proximity effects we address the topological superconducting wire systems, where Majorana fermions emerge as zero-energy modes at edges. By varying strengths of inter-wire couplings and changing fluxes of orbital magnetic fields, we show a physical realization towards topological p-wave superconductivity.

Jury

Président :
Nicolas Regnault (LPA, ENS and Princeton University)

Rapporteurs:
Johannes Knolle (Technical University of Munich)
Yuval Oreg (Weizmann Institute of Science)

Examinateurs :
Pasquale Calabrese (SISSA and INFN, Sezione di Trieste)
Benoit Douçot (LPTHE, Sorbonne Université)
Ion Garate (Université de Sherbrooke)
Pascal Simon (LPS, Université Paris-Saclay)

Directeur de thèse :
Karyn Le Hur (CPHT, Ecole Polytechnique)