Frank Yin L&S Math & Physical Sciences
Characterizing FCI states with 2D Tensor Networks
Topological phases beyond Landau’s symmetry-breaking paradigm are central to quantum many-body physics. Since analytic non-perturbative methods are often limited, their study relies heavily on numerical simulations, with tensor networks emerging as powerful tools. Fractional quantum Hall states are a paradigmatic example, traditionally studied with one-dimensional matrix product states on cylinders, while recent work has explored related chiral and bosonic phases using two-dimensional tensor networks. Here, we study interacting bosons coupled to background gauge fields using two-dimensional isometric tensor networks. This framework allows us to probe bosonic Laughlin-like phases directly in two dimensions and characterize their ground-state correlations and dynamical spectral functions. Since isoTNS naturally maps onto sequential quantum circuits, our work provides both a classical tensor-network platform and a route toward quantum simulation of strongly correlated topological phases..
Message To Sponsor
Thank you for your generous support of my project. I am especially excited to study strongly correlated topological phases, such as bosonic Laughlin-like states, using two-dimensional isometric tensor networks. Your funding helps make it possible for me to develop numerical tools for probing ground-state correlations and dynamical signatures of these exotic quantum states. I sincerely appreciate your contribution to my growth as a researcher in quantum many-body physics.