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Wolf, Fabian Alexander (2015): Solving dynamical mean-field theory using matrix product states. Dissertation, LMU München: Faculty of Physics



This thesis advances and applies matrix product state (MPS) based algorithms to the solution of dynamical mean-field theory (DMFT) and its variants. The advances enable to solve quantum many-body problems in and out of equilibrium that were previously out of reach for any numerical treatment. In equilibrium, this concerns in particular the computation of the electronic --- such as insulating, metallic, spin-freezed and many other --- phases of highly complex realistic models for correlated materials. In non-equilibrium, this concerns in particular the understanding of the fundamental mechanisms of the relaxation behavior of quantum many-body systems on short and intermediate time scales.