{"paper":{"title":"Generalized Gross-Pitaevskii Equation for 2D Bosons with Attractive Interactions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A generalized Gross-Pitaevskii equation with logarithmic density dependence captures the quantum anomaly in two-dimensional attractive Bose systems.","cross_cats":["nlin.PS","nucl-th","physics.atm-clus"],"primary_cat":"cond-mat.quant-gas","authors_text":"Artem G. Volosniev, Fabian Brauneis, Hans-Werner Hammer, Micha{\\l} Suchorowski, Micha{\\l} Tomza","submitted_at":"2025-11-13T09:19:15Z","abstract_excerpt":"We introduce a generalized Gross-Pitaevskii equation that provides a nonlinear framework for studying two-dimensional (2D) attractive Bose systems. Its defining feature is the logarithmic density dependence of the coupling constant, which breaks the scale invariance inherent in the standard mean-field equations. This framework allows straightforward calculations of the system properties arising from the quantum anomaly. As a first illustration, we study universal bound states in free space, commonly referred to as quantum droplets. Then, we analyze breathing modes and quench dynamics in trappe"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Its defining feature is the logarithmic density dependence of the coupling constant, which breaks the scale invariance inherent in the standard mean-field equations.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the specific logarithmic form of the density-dependent coupling accurately encodes the quantum anomaly without additional beyond-mean-field corrections or higher-order terms.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A generalized Gross-Pitaevskii equation with logarithmic density dependence in the coupling constant is introduced to study quantum anomalies and dynamics in 2D attractive Bose systems.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A generalized Gross-Pitaevskii equation with logarithmic density dependence captures the quantum anomaly in two-dimensional attractive Bose systems.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"8ca0e72748d018dafd394b8b632664259b3113638a4c80e9b304a02368073922"},"source":{"id":"2511.10115","kind":"arxiv","version":3},"verdict":{"id":"0e447085-f045-4bc0-95ef-b322425c165c","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T22:35:53.327923Z","strongest_claim":"Its defining feature is the logarithmic density dependence of the coupling constant, which breaks the scale invariance inherent in the standard mean-field equations.","one_line_summary":"A generalized Gross-Pitaevskii equation with logarithmic density dependence in the coupling constant is introduced to study quantum anomalies and dynamics in 2D attractive Bose systems.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the specific logarithmic form of the density-dependent coupling accurately encodes the quantum anomaly without additional beyond-mean-field corrections or higher-order terms.","pith_extraction_headline":"A generalized Gross-Pitaevskii equation with logarithmic density dependence captures the quantum anomaly in two-dimensional attractive Bose systems."},"references":{"count":60,"sample":[{"doi":"","year":1964,"title":"R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett.13, 479–482 (1964)","work_id":"74029c08-346b-401c-be55-081bffa2745b","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1972,"title":"V. E. Zakharov, Sov. Phys. JETP35, 908 (1972)","work_id":"9e3f3f96-bb38-4a56-93cd-63f3df0f18fc","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1986,"title":"V. E. Zakharov and E. A. Kuznetsov, Zh. Eksp. Teor. Fiz.91, 1310 (1986)","work_id":"858746c6-a549-4e98-9735-8846be383ecd","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1996,"title":"L. Pitaevskii, Phys. Lett. A221, 14–18 (1996)","work_id":"10d76833-a889-4f52-b865-13a79f6caff1","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1997,"title":"L. P. Pitaevskii and A. Rosch, Phys. Rev. A55, R853–R856 (1997)","work_id":"c2f1f3cb-2927-4e5b-b651-074c5e86dda4","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":60,"snapshot_sha256":"318662a1d57017709e7676812c39977d3054a6c57ac925a63a40f009cf621077","internal_anchors":2},"formal_canon":{"evidence_count":2,"snapshot_sha256":"4afcf2fd66192bfdc3c63471755d1794e20b7f65fc8dfc2558f6af67aefbea87"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}