Quantum metrology enhanced by the XY spin interaction in a generalized Tavis-Cummings model

Anno: 2024

Autori: Su YG., Lu WJ., Shi HL.

Affiliazione autori: Chinese Acad Sci, Innovat Acad Precis Measurement Sci & Technol, Wuhan 430071, Peoples R China; Hunan Inst Engn, Dept Maths & Phys, Xiangtan 411104, Peoples R China; QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy; INO CNR, Largo Enrico Fermi 2, I-50125 Florence, Italy; Hefei Natl Lab, Hefei 230088, Peoples R China.

Abstract: Quantum metrology is recognized for its capability to offer high-precision estimation by utilizing quantum resources, such as quantum entanglement. Here, we propose a generalized Tavis-Cummings model by introducing the XY spin interaction to explore the impact of the many-body effect on estimation precision, quantified by the quantum Fisher information (QFI). By deriving the effective description of our model, we establish a closed relationship between the QFI and the spin fluctuation induced by the XY spin interaction. Based on this exact relation, we emphasize the indispensable role of the spin anisotropy in achieving Heisenberg-scaling precision for estimating a weak magnetic field. Furthermore, we observe that the estimation precision can be enhanced by increasing the strength of the spin anisotropy. We also reveal a clear scaling transition of the QFI in the Tavis-Cummings model with a reduced Ising interaction. Our results contribute to the enrichment of metrology theory by considering many-body effects, and they also present an alternative approach to improving the estimation precision by harnessing the power provided by many-body quantum phases.

Giornale/Rivista: PHYSICAL REVIEW A

Volume: 109 (4)      Da Pagina: 42614-1  A: 42614-8

Maggiori informazioni: This work is supported by the National Natural Science Foundation of China Key Grants No. 12134015 and No. 92365202. Y.G.S. is supported by the National Natural Science Foundation of China (Grant No. 12247158), the Wuhan Talent (Outstanding Young Talents), and the Postdoctoral Innovative Research Post in Hubei Province. W.J.L. is supported by the National Natural Science Foundation of China (Grant No. 12205092) and the Hunan Provincial Natural Science Foundation of China (Grant No. 2023JJ40208) . H.-L.S. was supported by the European Commission through the H2020 QuantERA ERA-NET Cofund in Quantum Technologies project MENTA and the Hefei National Laboratory.
Parole chiavi: Radiation-field; Statistical Distance; Entanglement; States; Noise
DOI: 10.1103/PhysRevA.109.042614

Citazioni: 3
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-06-29
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