Tensor Network based approaches to Quantum Many-Body Systems

The aim of the school is to teach young PhD students the basics of tensor-product states as well as the most recent technical developments. This is particularly important given the increasing number of groups working on this quickly evolving topic. The lectures will be given by researchers who work actively both on the development and the application of tensor-product state based methods.

Dates: October 25-30 2020
Homepage: https://www.dpg-physik.de
Venue: Bad Honnef Physics School
Organizers: Corinna Kollath, Frank Pollmann, Norbert Schuch, Frank Verstraete

Topics include

  • Many-body entanglement
  • Matrix-product states
  • Projected entangled pair states
  • Multi-scale entanglement renormalization ansatz
  • Time-dependent variational principle
  • Tensor network renormalization
  • Bulk boundary correspondence
  • Tensor networks for finite temperatures and dynamics
  • Tensor networks as impurity solver for dynamical mean field


(a) SVD_Compression 
(b) Time-Evolving Block Decimation
(c) DMRG: Transverse field Ising (TeNPy)
(d) DMRG: Entanglement spectrum of the Haldane model (TeNPy)
(e) DMRG: Charge pumping in the Haldane model (TeNPy)

(Please send an E-Mail Frank Pollmann if you have any questions regarding the tutorials)


Philippe Corboz (University of Amsterdam)
Glen Evenbly (Georgia Institute of Technology, Atlanta)
Corinna Kollath (Universität Bonn)
David Perez-Garcia (Universidad Complutense, Madrid)
Ulrich Schollwöck (LMU, Munich)
Laurens Vanderstraeten (University of Gent)
Karel van Acoleyen (University of Gent)