Nonlinear time-reversal interferometry with arbitrary quadratic collective-spin interaction

doi:10.1088/1674-1056/ad4ff7

中国物理B ›› 2024, Vol. 33 ›› Issue (8): 80601-080601.doi: 10.1088/1674-1056/ad4ff7

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

收稿日期:2024-04-21 修回日期:2024-05-20 接受日期:2024-05-24 发布日期:2024-07-15
通讯作者: Yong-Chun Liu E-mail:ycliu@tsinghua.edu.cn
基金资助:
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).

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

Received:2024-04-21 Revised:2024-05-20 Accepted:2024-05-24 Published:2024-07-15
Contact: Yong-Chun Liu E-mail:ycliu@tsinghua.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: time-reversal interferometry, spin squeezing, quantum metrology

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.

Key words: time-reversal interferometry, spin squeezing, quantum metrology

中图分类号: (Metrology)

06.20.-f

42.50.Dv (Quantum state engineering and measurements)

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[J]. 中国物理B, 2024, 33(8): 80601-080601.

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Nonlinear time-reversal interferometry with arbitrary quadratic collective-spin interaction

Nonlinear time-reversal interferometry with arbitrary quadratic collective-spin interaction

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