The Hilbert glass transition: new universality of many body dynamical quantum criticality

We study a new class of unconventional critical phenomena that is characterized by singularities only in dynamical quantities and has no thermodynamic signatures I will develop a real space renormalization group method for excited state RSRG X that allows us to analyze such transitions and will focus on the 1D disordered transverse field Ising model with generic interactions While thermodynamic phase transitions are generally forbidden in this model