Quantum Quenches that Resemble Operator Growth
This study maps local quantum quenches to operator growth dynamics using a formal analogy involving vectorization in Hilbert space. It applies recursion methods to analyze these quenches, revealing Krylov and Fock space localization depending on parameters like $ u$ and $ u_m$. The results connect conserved charges, transport properties, and non-equilibrium coherent phenomena in many-body systems.