FOR 1807: Advanced Computational Methods for Strongly Correlated Quantum Systems

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Strong correlation effects in quantum many-particle systems have become increasingly important for a number of phenomena in domains, which include material physics, nanostructures and cold atoms in optical lattices. Significant advances in numerical methods have made it possible to treat models of these physically interesting and potentially technologically important systems theoretically without approximations. These methods include quantum Monte Carlo, the density-matrix renormalisation group and its generalisations and self-consistent dynamical cluster methods. The aim of this Research Unit is to form a coherent network of active researchers in Germany, Austria and Switzerland, who have made significant contributions to this progress in numerical methods, in order to share expertise and ideas as well as to develop efficient algorithms for the current generation of high-performance computing hardware. There is potential to make significant advances in long-standing fundamental problems in correlated quantum systems such as frustrated magnetism, doped Mott insulators and interacting bosonic and coupled fermion-boson systems.