{"paper":{"title":"Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","nlin.PS"],"primary_cat":"cond-mat.quant-gas","authors_text":"D. J. Frantzeskakis, P. G. Kevrekidis, R. Carretero-Gonzalez, Shuangquan Xie, Wenlong Wang","submitted_at":"2017-06-21T23:04:00Z","abstract_excerpt":"We consider the motion of individual two-dimensional vortices in general radially symmetric potentials in Bose-Einstein condensates. We find that although in the special case of the parabolic trap there is a logarithmic correction in the dependence of the precession frequency $\\omega$ on the chemical potential $\\mu$, this is no longer true for a general potential $V(r) \\propto r^p$. Our calculations suggest that for $p>2$, the precession frequency scales with $\\mu$ as $\\omega \\sim \\mu^{-2/p}$. This theoretical prediction is corroborated by numerical computations, both at the level of spectral "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07137","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"}