12:30 pm MCP - 3rd Floor Atrium
Symmetry, topology and entanglement in the chiral clock family.
Global symmetries greatly enrich the phase diagram of quantum many-body systems. As well as symmetry-breaking phases, symmetry-protected topological (SPT) phases have symmetric ground states that cannot be connected to a trivial state without a phase transition. There can also be symmetry-enriched critical points between these phases of matter. I will demonstrate these phenomena in phase diagrams constructed using an integrable family of N-state chiral clock chains, where an underlying Onsager algebra allows for many exact results. [Based on joint work with Abhishodh Prakash and Paul Fendley arxiv:2406.01680]