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Max Planck Institute for the Physics of Complex Systems, Dresden

Max Planck Institute for the Physics of Complex Systems, Dresden

Wilhelm and Else Heraeus-Foundation

Reverse Monte Carlo (RMC) modeling has emerged as a powerful computational tool for reconstructing atomic configurations from experimental data, including X-ray and neutron scattering. By iteratively refining atomic positions to match measured structure factors, RMC provides insights into short- and intermediate-range order, structural motifs, and hidden correlations. The method has successfully been applied to liquids, covalent and metallic lasses, and disordered crystals, advancing our understanding of many complex structural henomena.

Neutron Scattering,    X-rays, Synchrotron Radiation and Crystallography

Forschungszentrum Jülich

The goal of this year’s school is to provide students with an overview of modern many-body methods and their application to materials, with an outlook to the future of many-body simulations. The program will start with introducing the fundamentals: density-functional theory, the many-body problem and its complexity, emergent phenomena, the Hubbard and Kondo models and their physics. More advanced lectures will introduce many-body methods: static and dynamical mean-field theories, cluster methods, DMRG, tensor networks, and machine learning. Additional lectures will cover more explorative approaches, such as variational methods suitable for quantum computers and many-body solvers exploiting artificial neural networks. The lectures will show how the approaches can be used to unravel the mechanism of paradigmatic emergent phenomena in materials: non-conventional superconductivity, Mott phases, orbital ordering, topological phases of matter, the quantum Hall effect, and quantum spin-liquid phenomena. The topics will be treated with a focus on explaining key experiments in a realistic setting and an outlook on questions of materials design. Dedicated experimental lectures will explain the complexity of crystal-growth, cover experimental methods for characterizing many-body phases as well as experimental equilibrium and out-of-equilibrium probes of many-body states.

Email: correl26@fz-juelich.de

strongly correlated systems, Hubbard model, phase transitions; neural quantum states, many-body methods, QMC, DMFT and DFT+DMFT, Quantum Many-body Simulations on Digital Quantum Computer, RIXS experiments, Lanczos Method, Light-Control of Many-Body Phases, Quantum Spin Liquids, Topological Phases, DMRG, Ginzburg-Landau Theory of Superconductivity, Variational Monte Carlo.

Quantum materials, Low Temperature Physics,    Condensed Matter Physics and Materials