Simons Collaboration on the Many Electron Problem Hosts Third Annual Summer School


The third annual Simons Collaboration on the Many Electron Problem summer school was held at the Simons Center at Stony Brook University June 20–24, 2016. This year, the focus of the summer school was on tensor networks and was organized by the tensor network group leader Professor Steven White from University of California, Irvine.

The school included a range of both introductory and advanced topics in the field of tensor networks and related numerical methods, as well as hands-on sessions to teach students how to perform their own cutting edge tensor network calculations. Topics included basic background in numerical tools, such as Lanczos and the singular-value decomposition by Professor White; an introduction to matrix product states and the density matrix renormalization group (DMRG) by Professor Ulrich Schollwöck from Ludwig Maximilian University of Munich; and a review of methods for higher-dimensional tensor networks by Professor Philippe Corboz from the University of Amsterdam. Miles Stoudenmire led some simple, hands-on coding exercises, ranging from performing simple diagonalization to state-of-the-art DMRG calculations using the iTensor library he manages, which is funded by the Many Electron Collaboration.

In addition, some more advanced topics were covered, like a lecture by Martin Ganahl on formulating a version of matrix product states in the continuum, as well as an overview of doing state-of-the-art DMRG calculations for quantum chemistry by Professor Garnet Chan and 2-D DMRG by Professor White. Overall, the school gave a good overview of the state of practical tensor-network calculations and was a unique opportunity to get practical advice on performing advanced calculations by many experts in the field.