{"paper":{"title":"Universal Bose Gases Near Resonance: A Rigorous Solution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Fei Zhou, Gordon W. Semenoff, Shao-Jian Jiang, Wu-Ming Liu","submitted_at":"2013-07-16T13:00:54Z","abstract_excerpt":"We obtain a rigorous solution of universal Bose gases near resonance and offer an answer to one of the long-standing challenges of quantum gases at large scattering lengths, where the standard dilute theory breaks down. The solution was obtained by using an $\\epsilon$ expansion near four spatial dimension. In dimension $d = 4 - \\epsilon$, the chemical potential of Bose gases near resonances is shown to approach the universal value $\\epsilon^{(2/(4-\\epsilon))} \\epsilon_F \\sqrt{2/3} (1 + 0.474 \\epsilon - i 1.217 \\epsilon + ...)$, where $\\epsilon_F$ is the Fermi energy defined for a Fermi gas of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4263","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}