Tensor Product State Simulations of Strongly Correlated Systems

Scientific Report

The MPI-PKS International School “Tensor Product State Simulations of Strongly

Correlated Systems” (TENSOR16) was held from November 1-5, 2016. The goal of

the school was 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

were given by researchers who work actively both on the development and the

application on tensor-product state based methods.

The TENSOR16 school provided pedagogical introductions to matrix-product state

based methods and discussed the most recent numerical and analytical

developments in the field. The school comprised of five lectures and tutorials on

different topics:

• Entanglement, matrix-product states, simple algorithms, some Python basics

(Lecturer: Frank Pollmann, Dresden)

• Time dependent variational principle

(Lecturer: Laurens Vanderstraeten, Ghent)

• Applications of MPS in condmat and AMO

(Lecturer: Fabian Heidrich-Meisner, Munich)

• Introduction to Projected Entangled Pair States and the multi-scale entanglement

renormalization ansatz

(Lecturer: Phillipe Corboz, Amsterdam)

• Topological orders in tensor networks: Analytical approaches

(Lecturer: Norbert Schuch, Munich)

The school was very well received by the students and the feedback given was

extremely positive. The tutorials and hands-on sessions were particular popular as

these allowed a direct application of the theory taught during the lectures. All lectures

notes and tutorials are public and can be accessed from the website of the European

Tensor Network (quantumtensor.pks.mpg.de).

The students participated very actively throughout the entire program and the

questions asked led to stimulating discussions. We were also happy to see that the

school helped students from different groups to get to know each other which will

foster future scientific exchange (the students in fact formed an independent

Facebook group to stay in touch).

All students had the opportunity to present their own work during a poster session.

The poster session was very well attended and the students discussed their work

among each other and with the lectures until late night.

Scientific Coordination: Frank Pollmann (MPI-PKS, Dresden), Norbert Schuch

(MPQ, Munich), and Frank Verstraete (Ghent).

Organization: Mandy Lochar from the MPI-PKS, Dresden.