Princeton University

School of Engineering & Applied Science

Numerical Study of Bosonic Topological Phases

Scott Geraedts, Caltech
EQuad B205
Thursday, February 12, 2015 - 2:00pm

Abstract:  Bosonic topological phases have been of much recent interest since they provide a relatively simple way to explore the interplay between interactions, symmetry and topology. We have constructed models of the bosonic integer quantum Hall effect and the bosonic topological integer, as well as fractional versions of these phases. The models can be studied in sign-free Monte Carlo simulations. They work by considering two U(1) symmetries, and binding topological defects of one symmetry to charges of the other. We show how to construct the models, how to identify their topological behavior, and how to study the exotic physics on their surfaces.