Universidad Autónoma de Madrid / CSIC
Date:30 de enero, 2013
Place:3rd floor seminar lecture room. Dpt. Física Teórica I. Facultad de Ciencias Físicas UCM.
Topological states of matter represent an exotic organizational form of quantum matter that contradicts the traditional paradigms of condensed matter physics. Our understanding of how topological order emerges from
the microscopic degrees of freedom of a quantum manyXbody system is far from complete. Especially intriguing is the possible formation of nonX Abelian topological phases, whose excitations display nonXAbelian braiding properties with potential application for quantum computing.
In this talk I will propose a physical mechanism for the formation of topological states: the organization of particles into identical indistinguishable groups. I will argue that such global organization can give rise to topological quasiparticles obeying nonXAbelian statistics.To illustrate the construction, I will present a physical realization of this type of order in a spin lattice model.In theground state, spins are organized in
two identical quantum loop condensates. Excitations with nonXAbelian braiding properties are created by opening loops in each of the copies.
My proposal might open a door for the understanding of the origin of topological states of matter and for the experimental realization of nonX Abelian anyons in the laboratory.