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Micro–micro and micro–macro entanglement witnessing via the geometric phase in an impurity-doped Bose–Einstein condensate

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Abstract

We propose a theoretical proposal to witness micro–micro and micro–macro entanglement in terms of the geometric phase based on a micro–macro hybrid quantum system, the impurity-doped BEC system. We find direct relations between quantum entanglement quantified by quantum concurrence and the geometric phase of the impurity qubits and demonstrate that the geometric phase can witness micro–micro and micro–macro entanglement between the impurity qubits and the BEC. Our work provides a new insight to witness micro–micro and micro–macro entanglement in micro–macro hybrid quantum systems.

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The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant Nos. 1217050862, 11935006, 12147156, and 11775075, the STI Program of Hunan Province under Grant No. 2020RC4047, the China Postdoctoral Science Foundation under Grant No. 2021M701176, and the Science and Technology Innovation Program of Hunan Province under Grant No. 2021RC2078.

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  1. Xia Wu and Ya-Feng Jiao: Co-first authors with equal contribution.

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  1. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, and Department of Physics, Hunan Normal University, Changsha, 410081, China

    Xia Wu, Ya-Feng Jiao, Shao-Peng Jia, Ji Zhang, Cui-Lu Zhai & Le-Man Kuang

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Wu, X., Jiao, YF., Jia, SP. et al. Micro–micro and micro–macro entanglement witnessing via the geometric phase in an impurity-doped Bose–Einstein condensate. Quantum Inf Process 21, 234 (2022). https://doi.org/10.1007/s11128-022-03567-w

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