Joint TAU-BGU condensed matter seminar: A minimal model for many body localization transitions

The Sachdev-Ye-Kitaev (SYK) model is a system of a large number of randomly interacting Majorana fermions. A unique feature of the model is that it displays the full complexity of many body chaos and strong correlations, and at the same time is simple enough to be amenable to analytic solution schemes. In this talk we will discuss the physics of the SYK model perturbed by a one-body Hamiltonian inducing an ergodic to Fock space many body localization (MBL) transition at a critical coupling strength. We discuss the qualitative physics of the transition, its quantitative description, and where it differs from the MBL transition in spatially extended geometries. In the final part of the talk we discuss how the lessons learned from this ’null-model’ of MBL may be relevant to the operability of current date quantum computing architectures building on the transmon qubit platform.