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Détails bibliographiques
Auteurs principaux: Dirnböck, Selina, Lee, Seung-Sup B., Kugler, Fabian B., Huber, Sebastian, von Delft, Jan, Held, Karsten, Wallerberger, Markus
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2404.05541
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  • Two-particle response functions are a centerpiece of both experimental and theoretical quantum many-body physics. Yet, due to their size and discontinuity structure, they are challenging to handle numerically. Recently, two advances were made to tackle this problem: first, the overcomplete intermediate representation (OIR), which provides a highly efficient compression of Green's functions in imaginary frequency, and second, partial spectral functions (PSFs), which allow for an efficient evaluation in real frequency. We show that there is a two-to-one correspondence between PSFs and OIR coefficients and exploit this fact to construct the OIR for three-or-more-particle propagators. We then use OIR to fit and compress imaginary-frequency data obtained from the numerical renormalization group (NRG), reaching a compression ratio of more than 400. Finally, we attempt to match the OIR data to partial Green's functions from NRG.Due to the overcompleteness, we achieve only qualitative agreement.