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Parameter estimation in n-dimensional massless scalar field |
| Ying Yang(杨颖)1,† and Jiliang Jing(荆继良)2 |
1 Hunan Provincial Key Laboratory of Intelligent Sensors and Advanced Sensor Materials, School of Physics and Electronics, Hunan University of Science and Technology, Xiangtan 411201, China;
2 Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, Chin |
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Abstract Quantum Fisher information (QFI) associated with local metrology has been used to parameter estimation in open quantum systems. In this work, we calculated the QFI for a moving Unruh-DeWitt detector coupled with massless scalar fields in n-dimensional spacetime, and analyzed the behavior of QFI with various parameters, such as the dimension of spacetime, evolution time, and Unruh temperature. We discovered that the QFI of state parameter decreases monotonically from 1 to 0 over time. Additionally, we noted that the QFI for small evolution times is several orders of magnitude higher than the QFI for long evolution times. We also found that the value of QFI decreases at first and then stabilizes as the Unruh temperature increases. It was observed that the QFI depends on initial state parameter θ, and Fθ is the maximum for θ=0 or θ=π, Fφ is the maximum for θ=π/2. We also obtain that the maximum value of QFI for state parameters varies for different spacetime dimensions with the same evolution time.
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Received: 08 October 2023
Revised: 30 November 2023
Accepted manuscript online: 20 December 2023
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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06.20.-f
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(Metrology)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12105097 and 12035005) and the Science Research Fund of the Education Department of Hunan Province, China (Grant No. 23B0480). |
Corresponding Authors:
Ying Yang
E-mail: yingyanghnust@163.com
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Cite this article:
Ying Yang(杨颖) and Jiliang Jing(荆继良) Parameter estimation in n-dimensional massless scalar field 2024 Chin. Phys. B 33 030307
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