{"paper":{"title":"Dynamics of Sound Waves in an Interacting Bose Gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"A. Pizzo, D.-A. Deckert, J. Fr\\\"ohlich, P. Pickl","submitted_at":"2014-06-06T06:06:13Z","abstract_excerpt":"We consider a non-relativistic quantum gas of $N$ bosonic atoms confined to a box of volume $\\Lambda$ in physical space. The atoms interact with each other through a pair potential whose strength is inversely proportional to the density, $\\rho=\\frac{N}{\\Lambda}$, of the gas. We study the time evolution of coherent excitations above the ground state of the gas in a regime of large volume $\\Lambda$ and small ratio $\\frac{\\Lambda}{\\rho}$. The initial state of the gas is assumed to be close to a \\textit{product state} of one-particle wave functions that are approximately constant throughout the bo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1590","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"}