{ "id": "1011.3197", "version": "v1", "published": "2010-11-14T09:00:43.000Z", "updated": "2010-11-14T09:00:43.000Z", "title": "Quantum-limited metrology in the presence of collisional dephasing", "authors": [ "Y. C. Liu", "G. R. Jin", "L. You" ], "comment": "3.2 pages, 3 figures", "journal": "Phys. Rev. A 82,045601(2010)", "doi": "10.1103/PhysRevA.82.045601", "categories": [ "quant-ph", "cond-mat.quant-gas" ], "abstract": "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