Dr. Nouman Butt

University of Illinois Urbana-Champaign

Abstract:

We compute the low-lying spectrum of 4D SU(2) Yang-Mills in a finite volume using quantum simulations, employing a toroidal dimensional reduction to the "femto-universe" matrix quantum mechanics model. In this limit the theory is equivalent to the quantum mechanics of three interacting particles moving inside a 3-ball with certain boundary conditions. We use the variational quantum eigensolver and quantum subspace expansion techniques to compute the string tension to glueball mass ratio near the small/large-volume transition point, finding qualitatively good agreement with large volume Euclidean lattice simulations.

Bio:

Dr. Nouman Butt is currently a postdoc in QIS-HEP group at UIUC with a focus on quantum simulations of QFTs and quantum algorithms which can make these simulations tractable. He was previously a postdoc at AL working on tensor network methods for lattice field theories and completed his PhD at Syracuse University. His thesis work was primarily in chiral lattice gauge theories.