Programmable quantum devices can today probe wave functions at unprecedented levels, by the ability to take individual "snapshots". Here, we introduce wave function networks generated by a large number of such snapshots, which, as we show, can become scale free:

arxiv.org/abs/2301.13216

Quantum hard disks

Motivated by the recent impressive experimental progress in Rydberg atom arrays we introduce a quantum version of the paradigmatic hard disk problem on lattices, whose dynamics turn out to exhibit genuine quantum features such as quantum many-body scars:

arxiv.org/abs/2311.16240