COLLABORATIVE RESEARCH: ITR-(ASE)-(sim): Worm algorithm and diagrammatic Monte Carlo for strongly correlated atomic and condensed matter systems

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The goal of the proposed collaborative research project is to develop state-of-the-art Monte Carlo(MC) algorithms for many-body quantum systems and exploit them using widely distributed com-puting (three Beowolf clusters at UMass and CSI, and the supercomputer center at ETH, Zurich)to simulate collective phenomena in trapped ultra-cold atomic gases, multi-component condensatesin optical lattices, disordered superfuids, polarons and excitons. The new numeric schemes will bebased on the Worm algorithm (WA) and Diagrammatic Monte Carlo (DMC) techniques. These are generic high-performance numeric approaches introduced by the research team for simulations of systems with complex topology of configuration space and a large number of continuous variables. The programs will be made available as open source via a web page developed by the research team.