Berlin 2024 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 80: Correlated Electrons: Poster
TT 80.49: Poster
Donnerstag, 21. März 2024, 15:00–18:00, Poster E
The Orthonormalized Kernels Representation: a semi-analytic compression algorithm for imaginary axis Greens functions — •Andreas Hausoel1,2, Max Fischer3,2, Giorgio Sangiovanni3,2, Jeroen van den Brink1,2, and Oleg Janson1,2 — 1Institute for Theoretical Solid State Physics, Leibniz IFW Dresden, Helmholtzstr. 20, 01069 Dresden, Germany — 2Würzburg-Dresden Cluster of Excellence Ct.qmat, Technische Universität Dresden, 01062, Dresden, Germany — 3Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
Recently there were introduced two novel and exciting representations (= quantum mechanical basis sets) of Greens functions on the imaginary axis: the intermediate representation (IR) and the discrete Lehmann representation (DLR). They optimally compress the physical information (removing all the noise and redundant data) in two very different ways. However, both have a drawback, preventing them from becoming 'the' new basis for quantum mechanical calculations: the analytical form of the IR is not known, and the DLR is not orthonormal.
The Orthonormalized Kernels Representation (OKR) manages to cure their drawbacks and unite their advantages. However, this construction creates a severe problem at an entirely different place: nonlinear diagrammatic equations become intracable.
With our poster we explain this new perspective on the subject and put the manifold possibilities for further advance up for discussion.
Keywords: quantum mechanical basis; compression algorithms; correlated electrons; representations