{"paper":{"title":"Classical chaos with Bose-Einstein condensates in tilted optical lattices","license":"","headline":"","cross_cats":["cond-mat.stat-mech","nlin.CD"],"primary_cat":"quant-ph","authors_text":"Jean Claude Garreau, Quentin Thommen, V\\'eronique Zehnl\\'e","submitted_at":"2003-06-25T09:26:37Z","abstract_excerpt":"A widely accepted definition of ``quantum chaos'' is ``the behavior of a quantum system whose \\emph{classical} \\emph{limit is chaotic}''. The dynamics of quantum-chaotic systems is nevertheless very different from that of their classical counterparts. A fundamental reason for that is the linearity of Schr{\\\"o}dinger equation. In this paper, we study the quantum dynamics of an ultra-cold quantum degenerate gas in a tilted optical lattice and show that it displays features very close to \\emph{classical} chaos. We show that its phase space is organized according to the Kolmogorov-Arnold-Moser the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0306172","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"}