Professor Axel Saenz Rodriguez and graduate student Nikolaus Elsaesser mentored three undergraduate students —Christie Chang, Crystal Lee, and Mason Spears — as part of OSU’s URSA Engage program during the 2023-24 academic year. The students worked on simulations for 1D quantum systems modeling the quantum spin interaction of electrons, developing and implementing code on OSU’s high performance computing cluster. A preprint is currently in preparation. The project has successfully verified conjectural formulas that diagonalize the non-linear Hamiltonian operator which dictate the dynamics of the system.