Numerics for Wigner-Weyl methods in Many-Body Quantum Dynamics (B05)

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

The numerical simulation of the quantum dynamics of lattice spin systems is a delicate, challenging task due to high dimensionality and strong correlations. Recently, a class of numerical methods employing the Wigner-Weyl phase space formalism have shown very remarkable numerical results for correlated spin dynamics. We aim at the so far missing numerical analysis of these methods and possibly to their extension to fermionic systems.

• 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 Mendl