{"paper":{"title":"Quantum-limited metrology in the presence of collisional dephasing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"quant-ph","authors_text":"G. R. Jin, L. You, Y. C. Liu","submitted_at":"2010-11-14T09:00:43Z","abstract_excerpt":"Including collisional decoherence explicitly, phase sensitivity for estimating effective scattering strength $\\chi$ of a two-component Bose-Einstein condensate is derived analytically. With a measurement of spin operator $\\hat{J}_{x}$, we find that the optimal sensitivity depends on initial coherent spin state. It degrades by a factor of $(2\\gamma)^{1/3}$ below super-Heisenberg limit $\\propto 1/N^{3/2}$ for particle number $N$ and the dephasing rate $1<\\!<\\gamma<N^{3/4}$. With a $\\hat{J}_y$ measurement, our analytical results confirm that the phase $\\phi=\\chi t\\sim 0$ can be detected at the li"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3197","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"}