Acceleration of Quantum Mechanical Systems by Exploiting Similarity - IPAM at UCLA

Explore a 41-minute lecture on accelerating quantum mechanical systems through similarity exploitation. Delve into two examples that minimize computational effort while maintaining accuracy in quantum mechanical system simulations. Learn about an alternative to extended Lagrangian Born-Oppenheimer molecular dynamics simulations using extrapolation on the Grassmann manifold's tangent space. Discover the performance of the reduced basis method for quantum-spin systems, examining how the Kolmogorov N-width increases only slightly despite exponential growth in Hilbert space dimension. Understand the greedy-strategy for assembling the reduced basis, requiring minimal high-dimensional solution computations. Presented by Benjamin Stamm from RWTH Aachen University at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop, this talk offers valuable insights into advanced quantum mechanics simulation techniques.