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arXiv · 1806.07630

Multiparameter estimation via an ensemble of spinor atoms

Min Zhuang·Jiahao Huang·Chaohong Lee
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Abstract

Multiparameter estimation, which aims to simultaneously determine multiple parameters in the same measurement procedure, attracts extensive interests in measurement science and technologies. Here, we propose a multimode many-body quantum interferometry for simultaneously estimating linear and quadratic Zeeman coefficients via an ensemble of spinor atoms. Different from the scheme with individual atoms, by using an $N$-atom multimode GHZ state, the measurement precisions of the two parameters can simultaneously attain the Heisenberg limit, and they respectively depend on the hyperfine spin number $F$ in the form of $\Delta p \propto 1/(FN)$ and $\Delta q \propto 1/(F^2N)$. Moreover, the simultaneous estimation can provide better precision than the individual estimation. Further, by taking a three-mode interferometry with Bose condensed spin-1 atoms for an example, we show how to perform the simultaneous estimation of $p$ and $q$. Our scheme provides a novel paradigm for implementing multiparameter estimation with multimode quantum correlated states.

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Min Zhuang, Jiahao Huang, Chaohong Lee. 2018-06-20. Multiparameter estimation via an ensemble of spinor atoms. https://doi.org/10.1103/physreva.98.033603

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