Abstract: I will describe our attempts to construct quantum Hall parent Hamiltonians with multiple-Landau-level orbitals and their relation to parton wave functions whose excitations display either Abelian or non-Abelian braiding statistics. The emergent Entangled Pauli Principle (EPP), which defines the “DNA” of the quantum Hall fluid, is behind the exact determination of the topological characteristics of the fluid, including charge and braiding statistics of excitations, and effective edge theory descriptions. The DNA associated with fractional quantum Hall states admits a tensor network structure of finite bond dimension that emerges via root level entanglement and encodes all universal properties of the fluid.
The College of Arts