{"paper":{"title":"Extraction of the frequency moments of spectral densities from imaginary-time correlation function data","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.chem-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Damar C. Wicaksono, Jan Vorberger, Juan E. Suarez-Cardona, Maximilian B\\\"ohme, Michael Hecht, Panagiotis Tolias, Tobias Dornheim, Zhandos Moldabekov","submitted_at":"2023-01-20T06:52:13Z","abstract_excerpt":"We introduce an exact framework to compute the positive frequency moments $M^{(\\alpha)}(\\mathbf{q})=\\braket{\\omega^\\alpha}$ of different dynamic properties from imaginary-time quantum Monte Carlo data. As a practical example, we obtain the first five moments of the dynamic structure factor $S(\\mathbf{q},\\omega)$ of the uniform electron gas at the electronic Fermi temperature based on \\emph{ab initio} path integral Monte Carlo simulations. We find excellent agreement with known sum rules for $\\alpha=1,3$, and, to our knowledge, present the first results for $\\alpha=2,4,5$. Our idea can be strai"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.08444","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2301.08444/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}