Physics Main Calendar

Abstract: Topologically ordered many-body states can host a wide variety of defects, and transparent (topologically deformable) domain walls are among the most subtle. Although they are invisible to local probes, they leave clear signatures in global properties, such as the ground state degeneracy and, more fundamentally, the transmutation of anyons transported across the wall.

In this talk, I will present a systematic framework for identifying transparent domain walls in Abelian anyon models using information convex sets (ICSs) defined on local and noncontractible annuli. As motivation, I will first discuss several well-known lattice models with position-dependent excitations in which transparent domain walls arise naturally. I will then review key results of the entanglement bootstrap program, which aims to characterize topological phases from a reference state satisfying a set of axioms, focusing on ICSs on local annuli. Building on this framework, I will show that ICSs on both local and noncontractible annuli allow us to define and study fusion rules, quantum dimensions, topological entanglement entropy, ground state degeneracy, and 1-form entanglement asymmetry. In particular, these results show that the topological entanglement entropy on a noncontractible annulus and the 1-form entanglement asymmetry provide useful diagnostics of transparent domain walls.