Course: STAT 31390=CAAM 31390
Title: Numerical Methods for Quantum Many-Body Physics
Instructor: Siyao Yang
Class Schedule: Sec 1: TR 3:30 PM–4:50 PM in TBA
Description: Quantum many-body physics is at the heart of condensed matter physics, quantum chemistry, and quantum information science. This course provides a comprehensive introduction to numerical methods used in quantum many-body physics. The focus is on both conceptual understanding and practical implementation, with applications to strongly correlated electrons, quantum materials, and open quantum systems. Topics covered (tentatively) include: wave function methods, quantum Monte Carlo methods, tensor network methods and methods for simulating open quantum systems (quantum master equations, path integral approaches, diagrammatic quantum Monte Carlo). The course primarily focuses on the computational aspects of quantum many-body theory and does not require advanced knowledge of quantum physics. However, familiarity with undergraduate-level quantum mechanics (such as MATH18600) is recommended.