2016 School

Tensor product state simulations of strongly correlated 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 on tensor-product state based methods:

  • Entanglement, matrix-product states (MPS), 
simple algorithms, some Python basics
  • MPS for spectral functions, excited states, finite temperatures
  • Applications of MPS in condmat and AMO
  • Introduction to Projected Entangled Pair States (PEPS) and the multi-scale entanglement renormalization ansatz (MERA)
  • Applications of PEPS, model states, bulk boundary correspondence, future challenges!

Dates Nov. 1, 2016 – Nov. 5, 2016
Venue Max Planck Institute for the Physics of Complex Systems, Dresden.
Organized by Frank Pollmann, Norbert Schuch, and Frank Verstraete.
Register by Aug. 31 at https://www.pks.mpg.de/tensor16/

Course material:

(1)  Introduction to matrix-product states and algorithms

(2) Tangent space methods for matrix product states

  • Lecture Notes (pdf)
  • Slides I (pdf)
  • Slides II (pdf)
  • Tutorials (zip / pdf)
  • Solutions (zip)

(3) Projected Entangled Pair States

  • Slides (pdf)
  • Tutorials (zip)

(4) Application of matrix-product states in condensed matter and AMO