PHYSICS PHD DISSERTATION DEFENSE: Xizhi Han
Ph.D. Candidate: Xizhi Han
Research Advisor: Sean Hartnoll
Date: Friday, Feb 26, 2021
Time: 11am PST
Zoom Link: https://stanford.zoom.us/j/4062295862
Zoom Password: Email mariaf67 [at] stanford.edu (mariaf67[at]stanford[dot]edu) for password
Title: Numerical Methods in Matrix Quantum Mechanics
Abstract:
Matrix quantum mechanics are a class of models with emergent spatial dimensions. As quantum mechanical theories, they provide a clean framework for understanding microscopic aspects of holography. However, as interacting many-body systems, exact solutions are often unavailable. Starting with reviewing previously solved cases, we develop two complementary numerical methods for solving low-energy states in these theories. The emergent locality is captured by an entanglement measure that we propose, and we comment on potential broader applications to holography.