Institute for Pure & Applied Mathematics (IPAM) Courses

Quantum Continuum Mechanics for Many-Body Systems - IPAM at UCLA

Explore quantum continuum mechanics for many-body systems, focusing on anti-adiabatic approximation and its applications in calculating excitation energies and modeling quantum condensates.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Stochastic Vector Methods for Extended Systems - IPAM at UCLA

Explore stochastic vector approaches for electronic structure in condensed matter systems, reducing complexity and enhancing efficiency in computational quantum mechanics.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Lattice Models and Ab Initio Descriptions of Correlated Materials - IPAM at UCLA

Explore correlated electron materials through low-energy models and ab initio calculations, focusing on properties of cuprates and advanced quantum mechanics techniques.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Correlation Energy of Weakly Interacting Fermions - IPAM at UCLA

Explore fermionic systems in quantum mechanics, focusing on mean-field and semiclassical limits. Learn how Bogoliubov theory describes corrections to Hartree-Fock predictions and derives the Gell-Mann-Brueckner correlation energy formula.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Message Passing Neural Networks for Atomistic Systems - Molecules

Explore message passing neural networks for molecular systems, focusing on their application in quantum mechanics and multiscale approaches to atomistic modeling.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Second-Quantization of Many-Body Dispersion Formalism - Modeling of Million Atom Systems

Explore second-quantization of many-body dispersion formalism for modeling large-scale systems, enhancing computational efficiency and enabling analysis of interactions with surrounding environments.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

A Rigorous Framework for Embedding Realistic Interacting Quantum Systems

Explore a novel quantum embedding approach for coupling system fragments with long-range interactions, addressing limitations in current methodologies and offering systematic improvability for more reliable results.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Non-Locality in Machine Learning Force Fields - IPAM at UCLA

Explore non-locality in machine learning force fields with Stefan Chmiela, focusing on multiscale approaches in quantum mechanics and their applications in computational chemistry.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Pure State V-Representability of Density Matrix Embedding - Augmented Lagrangian

Explores density matrix embedding theory for quantum systems, proposing an augmented Lagrangian method to improve accuracy by relaxing assumptions and allowing flexible occupation profiles.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Modelling Atomic Properties with the Atomic Cluster Expansion - IPAM at UCLA

Explore atomic cluster expansion for hybrid interatomic potentials, covering methodology, applications, and theoretical foundations in quantum mechanics and materials science.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Quantum Electrodynamic Modeling of Superconducting Quantum Systems - IPAM at UCLA

Explore quantum electrodynamic modeling of superconducting systems with Princeton's Hakan Tureci, covering multiscale approaches in quantum mechanics and their applications.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Fast Algorithm for the Strong-Interaction Limit of Density Functional Theory

Explore a novel algorithm for computing the strong-interaction limit in density functional theory, enhancing accuracy in modeling strongly correlated systems and overcoming computational challenges.

• YouTube
• 1 hour
• On-Demand
• Free Video

Twisted Transition Metal Dicalcogenides - Tests of Quantum Embedding and Theories

Explore quantum embedding theories and their application to twisted transition metal dicalcogenides, focusing on the Hubbard model and its relevance to experimental observations in materials science.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Polaritonic Quantum Materials: A First Principles QEDFT Perspective

Explore the potential of light-matter hybrid states to create new phases of matter, focusing on cavity-QED in 2D materials and introducing QEDFT as a predictive framework for light-matter interactions.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Field Theory Methods for Multiscale Description of Quantum Systems - IPAM at UCLA

Explore quantum field theory's role in multiscale phenomena, from fundamental interactions to condensed matter physics and biology. Learn about inequivalent Hilbert space representations and their applications.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video