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- Title
Optimal estimation of parameters for scalar field in an expanding spacetime exhibiting Lorentz invariance violation.
- Authors
Liu, Xiaobao; Jing, Jiliang; Wang, Jieci; Tian, Zehua
- Abstract
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.
- Subjects
SCALAR field theory; LORENTZ invariance; PARAMETER estimation; ESTIMATION theory; EXPANDING universe; FRIEDMANN equations; CASIMIR effect
- Publication
Quantum Information Processing, 2020, Vol 19, Issue 1, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-019-2524-y