Matrix Product States and the Fractional Quantum Hall Effect (N. Regnault)
- Date: Jan 28, 2016
- Time: 01:30 PM - 04:00 PM (Local Time Germany)
- Speaker: Nicolas Regnault (Paris/Princeton)
- Room: Herbert Walther Lecture Hall
- Host: MPQ, Theory Division
The fractional quantum Hall effect is the most celebrate example of a two-dimensional phase that exhibits intrinsic topological order.
We will show that many fractional quantum Hall states have an exact
infinite matrix product states (MPS) representation. We will discuss how
a controlled truncation can be performed on this representation and we
will give a natural interpretation from the entanglement spectrum
perspective. Through the MPS, we will give evidences why certain model
states related to non-unitary conformal field theories, are
pathological. We will also show the direct characterization of the
Read-Rezayi quasihole excitations from their MPS description.