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Nonlinear time-reversal interferometry with arbitrary quadratic collective-spin interaction |
| Zhiyao Hu(胡知遥)1,2,†, Qixian Li(李其贤)1,†, Xuanchen Zhang(张轩晨)1,†, He-Bin Zhang(张贺宾)1, Long-Gang Huang(黄龙刚)1,3, and Yong-Chun Liu(刘永椿)1,4,‡ |
1 State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China;
2 School of Physics, Xi'an Jiaotong University, Xi'an 710049, China;
3 China Fire and Rescue Institute, Beijing 102202, China;
4 Frontier Science Center for Quantum Information, Beijing 100084, China |
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Abstract Atomic nonlinear interferometry has wide applications in quantum metrology and quantum information science. Here we propose a nonlinear time-reversal interferometry scheme with high robustness and metrological gain based on the spin squeezing generated by arbitrary quadratic collective-spin interaction, which could be described by the Lipkin-Meshkov-Glick (LMG) model. We optimize the squeezing process, encoding process, and anti-squeezing process, finding that the two particular cases of the LMG model, one-axis twisting and two-axis twisting outperform in robustness and precision, respectively. Moreover, we propose a Floquet driving method to realize equivalent time reverse in the atomic system, which leads to high performance in precision, robustness, and operability. Our study sets a benchmark for achieving high precision and high robustness in atomic nonlinear interferometry.
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Received: 21 April 2024
Revised: 20 May 2024
Accepted manuscript online: 24 May 2024
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PACS:
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06.20.-f
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(Metrology)
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42.50.Dv
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(Quantum state engineering and measurements)
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| Fund: Project supported by the National Key R&D Program of China (Grant No. 2023YFA1407600) and the National Natural Science Foundation of China (Grant Nos. 12275145, 92050110, 91736106, 11674390, and 91836302). |
Corresponding Authors:
Yong-Chun Liu
E-mail: ycliu@tsinghua.edu.cn
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Cite this article:
Zhiyao Hu(胡知遥), Qixian Li(李其贤), Xuanchen Zhang(张轩晨), He-Bin Zhang(张贺宾), Long-Gang Huang(黄龙刚), and Yong-Chun Liu(刘永椿) Nonlinear time-reversal interferometry with arbitrary quadratic collective-spin interaction 2024 Chin. Phys. B 33 080601
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