{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/quantum-spin-solver-near-saturation-qs-3","title":"Quantum spin solver near saturation: QS$^3_{~}$","arxiv_id":"2107.00872","date":"2021-07-02","proceeding":null,"authors":["Hiroshi Ueda","Seiji Yunoki","Tokuro Shimokawa"],"abstract":"We develop a program package named QS$^{3}$ [\\textipa{kj\\'u:-\\'es-kj\\'u:b}] based on the (thick-restart) Lanczos method for analyzing spin-1/2 XXZ-type quantum spin models on spatially uniform/non-uniform lattices near fully polarized states, which can be mapped to dilute hardcore Bose systems. All calculations in QS$^{3}$, including eigenvalue problems, expectation values for one/two-point spin operators, and static/dynamical spin structure factors, are performed in the symmetry-adapted bases specified by the number $N_{\\downarrow}$ of down spins and the wave number $\\boldsymbol{k}$ associated with the translational symmetry without using the bit representation for specifying spin configurations. Because of these treatments, QS$^{3}$ can support large-scale quantum systems containing more than 1000 sites with dilute $N_{\\downarrow}$. We show the benchmark results of QS$^{3}$ for the low-energy excitation dispersion of the isotropic Heisenberg model on the $10\\times10\\times10$ cubic lattice, the static and dynamical spin structure factors of the isotropic Heisenberg model on the $10\\times10$ square lattice, and the open-MP parallelization efficiency on the supercomputer (Ohtaka) based on AMD Epyc 7702 installed at the Institute for the Solid State Physics (ISSP). Theoretical backgrounds and the user interface of QS$^{3}$ are also described.","url_abs":"https://arxiv.org/abs/2107.00872v1","url_pdf":"https://arxiv.org/pdf/2107.00872v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"quantum-spin-solver-near-saturation-qs-3","repo_url":"https://github.com/QS-Cube/ED","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}