The entanglement entropy of gauge theories: lattice geometry and Monte Carlo simulations – Student Seminar

Speaker
Andrea Bulgarelli

Date/Time
Date(s) - 06/05/2024
11:00 - 12:00

Location
IRIS Building, Room 1.221


We will be welcoming a visiting PhD student from Turin, Andrea Bulgarelli.

Abstract:
The study of entanglement in quantum field theories provides insight into universal properties which are typically challenging to extract by means of more local observables. In the context of strongly coupled gauge theories, entanglement is expected to play a role in understanding many defining phenomena, among which confinement. However, calculations of entanglement-related quantities in gauge theories pose significant challenges: typical numerical algorithms struggle to compute such highly non-local quantities, and the definition of entanglement measures itself is ambiguous in gauge theories. In this talk I will discuss our recent efforts to overcome these challenges. In the first part of the talk I will present a novel algorithm, which combines the replica trick and Jarzynski’s equality, for high precision calculations of Rényi entropies. In the second part I will discuss how to exploit duality transformations, mapping spin models to Abelian gauge theories, to properly define a replica space for theories with a local symmetry, and show our recent results for the study of entanglement in the three-dimensional Z2 gauge theory.