IQUIST Young Researchers Seminar: "Higher-form entanglement asymmetry and topological order," Amanda Gatto, Hughes Group
- Event Type
- Seminar/Symposium
- Sponsor
- IQUIST
- Location
- 190 Engineering Sciences Building, 1101 W Springfield Ave, Urbana, IL 61801
- Date
- Dec 3, 2025 11:00 - 11:50 am
- Speaker
- Amanda Gatto, Hughes Group
- Contact
- Taylor Hughes
- hughest@illinois.edu
- Views
- 27
- Originating Calendar
- IQUIST Young Researchers Seminar
Abstract: In this talk I will first review the relationship between symmetry breaking and phases of matter, and how it can be generalized to classify topological order. Then I will discuss how we extended a recently defined measure of symmetry-breaking, the entanglement asymmetry, to higher-form symmetries. We focus on Abelian topological order in two dimensions, which spontaneously breaks a 1-form symmetry. Using the toric code as a primary example, we compute the entanglement asymmetry and compare it to the topological entanglement entropy. We find that while the two quantities are not strictly equivalent, both are sub-leading corrections to the area law and can serve as order parameters for the topological phase. Finally, we discuss how the scaling of entanglement asymmetry correctly detects topological order in the deformed toric code, where 1-form symmetry breaking persists even in a trivial phase.
Bio: Amanda Gatto Lamas is a 5th year physics graduate student working with Prof Taylor Hughes on how to characterize entanglement from the symmetries of a system.