Quantum-limited metrology in the presence of collisional dephasing

Details Quantum-limited metrology in the presence of collisional dephasing Quantum-limited metrology in the presence of collisional dephasing

2010-11-14

arxiv.org/abs/1011.3197v1

Phys. Rev. A 82,045601(2010)

Physics

Quantum Physics

3.2 pages, 3 figures

Scientific paper

10.1103/PhysRevA.82.045601

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

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