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: 25 – 29 November 2019
Homepage: http://tensor2019.dipc.org
Venue: Donostia International Physics Center, San Sebastian
Registration fee: None
Organizers: Roman Orus, 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


Mari Carmen Banuls
Roman Orus
David Perez Garcia
Frank Pollmann
Didier Poilblanc
Cecile Repellin
Sukhi Singh
Frank Verstraete


(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)

If you have a Google account, you can run all the tutorials directly in your browser via Google Colab (click on “Open in playground”). Otherwise, you have to install Python3 and TeNPy on your laptop to run the downloaded notebooks:

https://www.anaconda.com/distribution (or any other distribution)
https://github.com/tenpy/tenpy (or via “pip install git+git://github.com/tenpy/tenpy.git”)