Environmental parameter estimation with the two-level atom probes

doi:10.1088/1674-1056/ac364f

中国物理B ›› 2022, Vol. 31 ›› Issue (5): 50304-050304.doi: 10.1088/1674-1056/ac364f

Environmental parameter estimation with the two-level atom probes

Mengmeng Luo(罗萌萌)¹, Wenxiao Liu(刘文晓)², Yuetao Chen(陈悦涛)¹, Shangbin Han(韩尚斌)¹, and Shaoyan Gao(高韶燕)^1,†

1 MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China;
2 Department of Physics and Electronics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China

收稿日期:2021-08-16 修回日期:2021-10-29 发布日期:2022-04-18
通讯作者: Shaoyan Gao,E-mail:gaosy@xjtu.edu.cn E-mail:gaosy@xjtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.91536115 and 11534008) and Natural Science Foundation of Shaanxi Province,China (Grant No.2016JM1005).

Environmental parameter estimation with the two-level atom probes

Mengmeng Luo(罗萌萌)¹, Wenxiao Liu(刘文晓)², Yuetao Chen(陈悦涛)¹, Shangbin Han(韩尚斌)¹, and Shaoyan Gao(高韶燕)^1,†

1 MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China;
2 Department of Physics and Electronics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China

Received:2021-08-16 Revised:2021-10-29 Published:2022-04-18
Contact: Shaoyan Gao,E-mail:gaosy@xjtu.edu.cn E-mail:gaosy@xjtu.edu.cn
About author:2021-11-4
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.91536115 and 11534008) and Natural Science Foundation of Shaanxi Province,China (Grant No.2016JM1005).

摘要/Abstract

摘要： A novel scheme is proposed to estimate three environmental parameters, the detuning, the temperature and the squeezing strength with one-qubit or two-qubit probes. Quantum Fisher information and the fidelity of the atom probes are calculated. When the detuning between the frequency of cavity field and the atomic transition frequency is estimated, the dynamics of quantum Fisher information shows oscillatory and rising behaviors. To estimate the temperature of the thermal reservoir, the one-qubit probe with the superposition initial state is more favorable than the two-qubit probe with the entangled initial state. When the squeezing strength of the squeezed vacuum reservoir is estimated, we find that the estimation precision is significantly improved by utilizing the two-qubit probe with the maximal entangled initial state. Our work provides a potential application in the open quantum system and quantum information processing.

关键词: quantum parameter estimation, quantum Fisher information, Jaynes-Cummings model, quantum reservoir theory

Abstract: A novel scheme is proposed to estimate three environmental parameters, the detuning, the temperature and the squeezing strength with one-qubit or two-qubit probes. Quantum Fisher information and the fidelity of the atom probes are calculated. When the detuning between the frequency of cavity field and the atomic transition frequency is estimated, the dynamics of quantum Fisher information shows oscillatory and rising behaviors. To estimate the temperature of the thermal reservoir, the one-qubit probe with the superposition initial state is more favorable than the two-qubit probe with the entangled initial state. When the squeezing strength of the squeezed vacuum reservoir is estimated, we find that the estimation precision is significantly improved by utilizing the two-qubit probe with the maximal entangled initial state. Our work provides a potential application in the open quantum system and quantum information processing.

Key words: quantum parameter estimation, quantum Fisher information, Jaynes-Cummings model, quantum reservoir theory

中图分类号: (Quantum information)

03.67.-a

06.20.-f (Metrology) 42.50.Pq (Cavity quantum electrodynamics; micromasers) 03.65.Ud (Entanglement and quantum nonlocality)

Mengmeng Luo(罗萌萌), Wenxiao Liu(刘文晓), Yuetao Chen(陈悦涛), Shangbin Han(韩尚斌), and Shaoyan Gao(高韶燕). Environmental parameter estimation with the two-level atom probes[J]. 中国物理B, 2022, 31(5): 50304-050304.

Mengmeng Luo(罗萌萌), Wenxiao Liu(刘文晓), Yuetao Chen(陈悦涛), Shangbin Han(韩尚斌), and Shaoyan Gao(高韶燕). Environmental parameter estimation with the two-level atom probes[J]. Chin. Phys. B, 2022, 31(5): 50304-050304.

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Environmental parameter estimation with the two-level atom probes

Environmental parameter estimation with the two-level atom probes

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