Topology and Interactions in Optical Lattices

Online Summer School September 30 to October 2, 2020

Due to ongoing restrictions on travel and meetings as a result of COVID-19, the summer school will be held online at the above mentioned dates (unchanged).

Topology has emerged as an important concept for characterizing quantum matter. Together with symmetry it gives rise to a plethora of new and exotic phases. At the interface between topologically distinct phases, seemingly impossible phenomena become reality, such as charge fractionalization, chiral currents or single Dirac cones. Because topological phenomena give rise to extremely precise quantization and robustness against disorder, they hold promise for game-changing applications ranging from metrology to quantum computation. Topological effects are at the focus of current research, with new concepts and new topological materials being discovered at an amazing pace.

The interplay of topology and strong interactions is one of the most vibrant and challenging problems in condensed-matter physics, and quantum simulators of topological systems have gained increasing attention. Ultracold atoms in optical lattices have emerged as a versatile platform for combining strong artificial gauge fields and topological bandstructures with tunable interactions.

The aim of this school is to train a new generation of young researchers on the subject of topology and interactions in optical lattices.


  • Engineering artificial gauge fields in ultracold quantum gases
  • Topological insulators and band structures
  • Topological order in strongly correlated systems
  • Experimental platforms from solids to quantum simulators
  • Floquet engineering
  • Driving and interaction in synthetic topological quantum matter
  • Numerical methods for simulating strongly correlated systems


  • Leticia Tarruell (ICFO Barcelona)
  • Christof Weitenberg (University of Hamburg)
  • Ulrich Schollwöck (LMU Munich)
  • Nicolas Regnault (ENS Paris)
  • Nathan Goldman (Free University of Brussels)
  • Oded Zilberberg (ETH Zurich)
  • Giovanna Morigi (Saarland University)




  • Walter Hofstetter (Goethe University Frankfurt)
  • Monika Aidelsburger (LMU Munich)
  • Fabian Grusdt (LMU Munich)


The number of participants is limited. Instead of a poster session, we are planning a number of short contributed presentations from selected participants, plus additional discussion opportunities.

For application, please fill the form here. Since the Summer School is online now, the deadline has been changed to September 1, 2020.


Michaela Groll


Institut für Theoretische Physik

Goethe-Universität Frankfurt

Max-von-Laue-Str. 1

60438 Frankfurt am Main