Microscopic origin of unconventional relaxation process through time-dependent Landau-Ginzburg theory

The technique of light control of quantum materials is a promising way to generate exotic phases with novel strongly correlated states. However, the fundamental physics of such a non-equilibrium process induced by a laser is not yet fully understood. By critically examining the dynamics of ultrafast light-induced phase transitions, our study introduces a novel approach that seamlessly connects microscopic and macroscopic theories. We scrutinize the underlying mechanisms, particularly unconventional relaxation processes, within Time-Dependent Ginzburg-Landau (TDGL) models. Our focus centers on the investigation of relaxation mechanisms marked by non-equilibrium dynamics, non-thermal pathways, and the emergence of metastable states. Through the TDGL model, we aim to understand the intricate dynamics relating to unconventional relaxation processes.