Non-Abelian Tensor Network Methods for Many-body Quantum Systems

Non-Abelian symmetries are one of the more challenging forms of symmetries to be used in tensor network methods. Their promised advantages in terms of accessible physical phenomena and computational scaling makes them a meaningful tool for many-body quantum physics. We implement tensor network methods with Non-Abelian symmetries to explore common models and compare their benefits with respect to the same system simulated without symmetries. We motivate the Hamiltonian and highlight the benefits in terms of group theory and aim to study many-body systems in one dimension and possibly beyond. In particular, we will integrate the Non-Abelian symmetry into the existing library Quantum TEA, which consists of over twenty modules and covers up to now only Abelian symmetries. The integration will exploit code design principles ranging from unit testing to dependency management.