I will first discuss new examples of quantum many-body scars in the two-dimensional XY model. I will then discuss a dual $Z_2$ gauge theory obtained by gauging a global symmetry of the XY model, and discuss corresponding scars therein. This discussion suggests the possibility of systematic exploration of quantum many-body scars in the web of theories related by dualities. The talk is based on...
A central challenge in nonequilibrium quantum physics is to understand why certain many-body systems fail to thermalize even in the absence of disorder or integrability. In this talk, I will outline a different perspective in which non-ergodicity is governed by hidden geometric structures in Hilbert space rather than by conventional real-space mechanisms. This viewpoint leads to the concept of...