Design and implement a high-quality, well-documented numerical library that performs Diffusion Monte Carlo for one-dimensional many-body systems with Coulomb-like interactions in an arbitrary periodic potential. Beyond the design of the core DMC engine (drift–diffusion dynamics, branching/population control), we will be interested in speedup via GPU acceleration and inclusion of internal degrees of freedom (spin, but also valley) to model more realistic systems. This tool will provide a reference implementation for exact ground-state calculations in 1D, enabling rigorous benchmarking of approximate methods and supporting theoretical development for strongly correlated phases in moiré systems and beyond.