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.

Go to Editor View