Core-Collapse Supernova Simulations and Collective Neutrino Flavor Conversions: Current Status and Prospects

Abstract In this review, we provide an overview of neutrino quantum kinetics, especially flavor conversion, in core-collapse supernovae (CCSNe) and its possible role in the explosion dynamics. We summarize the physical ingredients of modern CCSN simulations, with particular emphasis on neutrino transport and the detailed neutrino distributions relevant for flavor evolution. We then discuss the theoretical framework of collective neutrino flavor instabilities and conversions, together with insights from analytical and numerical studies. We also review ongoing efforts to incorporate flavor conversion into global CCSN models and the challenges of linking microscopic quantum kinetic processes with macroscopic dynamics. We conclude by outlining future directions toward a self-consistent treatment of neutrino flavor evolution in CCSN simulations.