Numerical Gaussian-Based and Tensor-Network Methods in Quantum Dynamics (B04)

• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 470903074

The challenges to the numerical approximation of the quantum dynamics of multi- to many-particle systems lie in the high dimension of configuration spaces and often in highly oscillatory behavior of wave functions, due to multiple time and space scales. This project aims at the design and analysis of numerical algorithms for two major approaches that address either or both of these challenges: dynamical tensor networks and correlated evolving Gaussians, and also their nontrivial combination.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 352: Mathematics of Many-Body Quantum Systems and Their Collective Phenomena
• Applicant Institution: Ludwig-Maximilians-Universität München
• Project Heads: Professorin Dr. Caroline Lasser; Professor Dr. Christian Lubich