Matrix Product States and the Fractional Quantum Hall Effect (N. Regnault)

  • Datum: 28.01.2016
  • Uhrzeit: 13:30 - 16:00
  • Vortragende(r): Nicolas Regnault (Paris/Princeton)
  • Raum: Herbert Walther Lecture Hall
  • Gastgeber: 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.

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