{"paper":{"title":"Critical Point of a Weakly Interacting Two-Dimensional Bose Gas","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Boris Svistunov, Nikolay Prokof'ev, Oliver Ruebenacker","submitted_at":"2001-06-05T13:39:19Z","abstract_excerpt":"We study the Berezinskii-Kosterlitz-Thouless transition in a weakly interacting 2D quantum Bose gas using the concept of universality and numerical simulations of the classical $|\\psi|^4$-model on a lattice. The critical density and chemical potential are given by relations $n_c=(mT/2\\pi \\hbar^2) \\ln(\\xi \\hbar^2/ mU)$ and $\\mu_c=(mTU/\\pi \\hbar^2) \\ln(\\xi_{\\mu} \\hbar^2/ mU)$, where $T$ is the temperature, $m$ is the mass, and $U$ is the effective interaction. The dimensionless constant $\\xi= 380 \\pm 3$ is very large and thus any quantitative analysis of the experimental data crucially depends o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0106075","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":""},"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"}