Recently developed experimental tools that control and probe many-body quantum systems have provided access to new time and length scales of various quantum systems. Techniques such as pump-probe experiments have enabled us to explore and understand the phases and orders of previously difficult-to-study many-body strongly-correlated systems.
In this talk, I will present our theoretical investigation of two different non-equilibrium systems: a BCS system with a time-varying order parameter and a quenched SYK-boson model. For the non-equilibrium BCS model, we focus on the transient dynamics of a system that has been studied in time- and angle-resolved photoemission spectroscopy (tr-ARPES) experiments, discuss the limit of the quasi-static method currently used to understand these tr-ARPES measurements, and provide an alternative method to obtain the superconducting gap dynamics from experimental data. For the quenched SYK-boson model, I will discuss how our model relates to both the SYK model and the spin-boson model, present two simple quench scenarios that provide physical intuition for the model, and then discuss some interesting transitions/crossovers that we have discovered so far.
If time permits, I will also discuss our work on the non-linear optical responses of an inversion-breaking superconductor, and on the presence of scrambling in the absence of chaos.
