Optimal estimation of parameters for scalar field in an expanding spacetime exhibiting Lorentz invariance violation

被引：10
|
作者：
Liu, Xiaobao [1 ,2 ,3 ]
Jing, Jiliang [1 ,2 ]
Wang, Jieci [1 ,2 ]
Tian, Zehua [4 ,5 ,6 ,7 ,8 ]
机构：
[1] Hunan Normal Univ, Minist Educ, Dept Phys, Key Lab Low Dimens Quantum Struct & Quantum Contr, Changsha 410081, Hunan, Peoples R China
[2] Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Hunan, Peoples R China
[3] Liupanshui Normal Univ, Dept Phys & Elect Engn, Liupanshui 553004, Guizhou, Peoples R China
[4] Univ Sci & Technol China, CAS Key Lab Microscale Magnet Resonance, Hefei 230026, Anhui, Peoples R China
[5] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
[6] Univ Sci & Technol China, Hefei Natl Lab Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China
[7] Univ Sci & Technol China, Synerget Innovat Ctr Quantum Informat & Quantum P, Hefei 230026, Anhui, Peoples R China
[8] Chinese Acad Sci, Key Lab Res Galaxies & Cosmol, 96 JinZhai Rd, Hefei 230026, Anhui, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2020年 / 19卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Lorentz invariance violation; Expanding universe; Local quantum estimation theory; QUANTUM ESTIMATION; ENERGY-SPECTRUM; GROUND-STATE; RENORMALIZATION; DISTANCE; GEOMETRY;
D O I：
10.1007/s11128-019-2524-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We address the optimal estimation of quantum parameters, in the framework of local quantum estimation theory, for a massive scalar quantum field in the expanding Robertson-Walker universe exhibiting Lorentz invariance violation (LIV). We find that, in the estimation of cosmological parameters, the ultimate bounds to the precision of the Lorentz-invariant massive scalar field can be improved due to the effects of LIV under some appropriate conditions. We also show that, in the Lorentz-invariant massive scalar field and massless scalar field due to LIV backgrounds, the optimal precision can be achieved by choosing the particles with some suitable LIV, cosmological and field parameters. Moreover, in the estimation of LIV parameter during the spacetime expansion, we prove that the appropriate momentum mode of field particles and larger cosmological parameters can provide us a better precision.
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页数：21
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