Geometry and non-adiabatic responses in non-equilibrium systems

The quantum geometry appears in various contexts in many-body quantum systems out of equilibrium,
both as an object of fundamental importance and as a practical tool. Recent theoretical and
experimental developments (including in quantum simulation, flat band physics, and quantum control)
have spurred research on this geometry in various new directions, where different communities
however use similar notions in different contexts and with a different toolbox.
The international workshop on Geometry and non-adiabatic responses in non-equilibrium
systems aimed at bringing together communities working on different aspects of quantum geometry
and many-body quantum dynamics, with the goal of fostering collaborations and bringing on
new research directions. This workshop was held in-person during the week of 17-21 June 2024.
The format included 26 talks, comprised of 18 invited talks and 8 contributed talks, as well as
two introductory lectures by Dries Sels (New York University) and Tomoki Ozawa (AIMR, Tohoku
University). These lectures were aimed at introducing the general themes of the workshop to the
different communities as well as the junior participants. Both speakers did so successfully and the
inclusion of these introductions was positively commented on by a large part of the audience. The
workshop also included two poster sessions totalling over 50 poster contributions, which were well
attended and covered a wide range of topics.

The talks can be grouped together in different interconnected topics:
• Notions of quantum geometry beyond standard settings (Robert-Jan Slager, Jan Behrends,
Clara Wanjura, Andr´e Eckardt)

• Geometry in flat bands and quantum Hall physics (Bruno Mera, Jie Wang, Armin Rahmani,
Grazia Salerno, Johannes Hofmann)

• Quantum simulation (Hannah Price, Gil Refael, Qingyun Cao)

• Quantum geometry and superconductivity (Eugene Demler, Bogdan A. Bernevig)

• Quantum geometry and quantum chaos (Anatoli Polkovnikov)

• Quantum control and counterdiabatic driving (Dries Sels, Adolfo Del Campo, Paul Schindler)

• Quantum geometry and driven quantum systems (Netanel Lindner, Iliya Esin, Takahiro Morimoto,
Kater Murch)

• Quantum sensing (Fengnian Xia)

The workshop brough together leading experts from across the globe, both experimental and
theoretical, and also included a large number of junior participants. We were impressed by the
high quality and diversity of the contributions, which led to stimulating discussions throughout
and addressed the topics we set out to cover, such that we believe the goal of the workshop was
successfully achieved.