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Quantum Fisher Information for s u(2) Atomic Coherent States and s u(1, 1) Coherent States

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Abstract

We investigate quantum Fisher information (QFI) for s u(2) atomic coherent states and s u(1, 1) coherent states. In this work, we find that for s u(2) atomic coherent states, the QFI with respect to \(\vartheta ~(\mathcal {F}_{\vartheta })\) is independent of φ, the QFI with respect to \(\varphi (\mathcal {F}_{\varphi })\) is governed by 𝜗. Analogously, for s u(1,1) coherent states, \(\mathcal {F}_{\tau }\) is independent of φ, and \(\mathcal {F}_{\varphi }\) is determined by τ. Particularly, our results show that \(\mathcal {F}_{\varphi }\) is symmetric with respect to 𝜗 = π/2 for s u(2) atomic coherent states. And for s u(1,1) coherent states, \(\mathcal {F}_{\varphi }\) also possesses symmetry with respect to τ = 0.

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Acknowledgments

This work was supported by the NSF of China (Grant No. 11405026 and No. 11175043), the Plan for Scientific and Technological Development of Jilin Province (No. 20150520083JH) and the Fundamental Research Funds for the Central Universities (Grant No. 14QNJJ008).

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Authors and Affiliations

  1. School of Physics, Northeast Normal University, Changchun, 130024, People’s Republic of China

    Qi Song, Honggang Liu, Yuefeng Zhao, Yan Zeng, Gangcheng Wang & Kang Xue

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  1. Qi Song
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  2. Honggang Liu
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  3. Yuefeng Zhao
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  4. Yan Zeng
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  5. Gangcheng Wang
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  6. Kang Xue
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Correspondence to Kang Xue.

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Song, Q., Liu, H., Zhao, Y. et al. Quantum Fisher Information for s u(2) Atomic Coherent States and s u(1, 1) Coherent States. Int J Theor Phys 55, 1679–1685 (2016). https://doi.org/10.1007/s10773-015-2805-x

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  • DOI: https://doi.org/10.1007/s10773-015-2805-x

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