Theoretical Physics Seminar

Condensed matter physics studies many-body systems with novel quantum phases, usually described by local order parameters. Topological quantum matter instead is defined by global properties, featuring macroscopic quantization and a key interplay of topology, entanglement, and interactions. The fractional quantum Hall effect (FQH) is the paradigmatic case: a gapped 2D bulk, gapless 1D chiral edges, bulk anyons with fractional charge and fractional statistics, and quantized edge transport, with progress driven by experiment, theory, and quantum-technology applications.
 

         Building on this foundation, my work explores both edge and bulk physics in FQH systems. In this regard, I will present the analyses at FQH edges using analytical edge equilibration theory to compute conductance and shot noise, yielding experimentally relevant signatures that (i) identify non-Abelian bulk topological order and edge-steady state at 5/2 FQH filling and (ii) discriminate among competing models at 2/3 FQH filling. In the FQH bulk, I combine analytical states with numerical Monte Carlo simulations on lattice systems to study anyon properties—fractional charge and fractional statistics and specifically, I will highlight the analysis at 5/2 FQH filling. I will wrap up by overviewing my future as well as research plans together with directions where joint theory-experiment collaborations can be developed.