Teaching by Annabelle Bohrdt

Seminar: Quantum Simulation and Computing with Ultra Cold Matter

Instructor: Prof. Dr. Annabelle Bohrdt, Johannes Zeiher
Time: Fridays, 12:00–14:00
Location: Schellingstr. 4, Room H107

Lecture: Advanced Computational Physics for Many-Body Systems

Instructor: Prof. Dr. Annabelle Bohrdt, Prof. Dr. Lode Pollet
Time: Mondays 12:00–14:00 (Room B101) and Thursdays 10:00–12:00 (Room A449)

Description: This lecture covers advanced numerical methods for strongly correlated many-body physics, focusing on the Fermi-Hubbard, Bose-Hubbard, Heisenberg, and spin-XXZ models. After introducing the physics of these models, exact diagonalization methods for small systems are discussed. We then explore matrix product states for low-dimensional models, followed by quantum Monte Carlo methods — including path integral Monte Carlo for sign-positive bosonic and spin models, and determinant-based approaches for fermionic simulations. Variational Monte Carlo bridges to the final topic: neural network quantum states, a novel class of variational Ansätze leveraging advances in machine learning to address previously intractable models.

WS 2023/2024: Numerical Methods for Quantum Many-Body Systems

Contents:

• Introduction to quantum many-body systems
• Exact diagonalization
• Monte Carlo methods
• Matrix product states
• Neural quantum states

Each topic includes an introduction to the technique, practical coding exercises, and presentations of research results from current literature using these methods.

When & Where: Tuesdays 11:00–13:00 and Thursdays 12:00–14:00
Location: Room 5.0.21 and on Zoom (email for link)