Continuous-variable many-body systems with interactions involving quartic force fields (QFF) play a crucial role in modeling molecular vibrations and their interactions, thereby serving as a bridge between quantum simulations and practical applications in spectroscopy. In this context, the emerging field of continuous-variable quantum computation (CV-QC) offers a novel approach. CV-QC leverages continuous quantum information processing units (qumodes), mapping each continuous degree of freedom in the system being simulated onto a corresponding qumode of the quantum device. This paradigm presents a distinct contrast to digital quantum simulation methods, such as the Zalka-Wiesner method, which discretizes continuous-variable systems for simulation on digital quantum information platforms. In this talk, we will explore the application of CV-QC to both quantum and classical many-body systems, with a focus on systems described by QFFs and classical interacting particle systems.