Leibniz Group Seminar | April 30, 16:00

The problem of constructing Tensor Product States for chiral topological phases


In this informal talk, I will discuss the question whether it is possible to find a Tensor Product State which is the ground state of a gapped, local, Hamiltonian lying inside a chiral topological phase. Prominent examples of such chiral phases are quantum Hall states, Chern bands, or complex (e.g., p+ip) paired states. This question appears to have been mentioned by various people, but so far only a handful of papers have tackled it directly. I will start with a preprint from last year (JD-Read, 2013, see also Wahl-Tu-Schuch-Cirac, 2013 and Hastings, 2014) and elaborate on some subsequent developments (unpublished). Only basic knowledge of quantum Hall trial wave functions (the approach of Moore-Read, 1991) and of conformal field theory will be required.


Jerome Dubail, University of Nancy
Seminarraum 303 (II. Physik)
Contact: Thomas Quella