Parameter estimation for a Lorentz invariance violation
arXiv:1810.11379 · doi:10.1142/S0218271819500287
Abstract
We employ techniques from quantum estimation theory (QET) to estimate the Lorentz violation parameters in the 1+3-dimensional flat spacetime. We obtain and discuss the expression of the quantum Fisher information (QFI) in terms of the Lorentz violation parameter and the momentum k of the created particles. We show that the maximum QFI is achieved for a specific momentum . We also find that the optimal precision of estimation of the Lorentz violation parameter is obtained near the Planck scale.
arXiv comment7 pages, 5 figures
References in corpus (28)
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
- Quantum Gravity at a Lifshitz Point
- Quantum metrology
- Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
- Observational Probes of Cosmic Acceleration
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Modern tests of Lorentz invariance
- Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
- Testable scenario for Relativity with minimum-length
- Membranes at Quantum Criticality
- Doubly Special Relativity
- Threshold effects and Planck scale Lorentz violation: combined constraints from high energy astrophysics
- Constraining Lorentz-violating, Modified Dispersion Relations with Gravitational Waves
- Probing The Structure of Space-Time with Cosmic Rays
- Lorentz-violating electrodynamics and the cosmic microwave background
- On Signatures of Short Distance Physics in the Cosmic Microwave Background
- Cosmological acceleration, varying couplings, and Lorentz breaking
- Real-time Cosmology
- Back-Reaction and the Trans-Planckian Problem of Inflation Revisited
- Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
- Modified dispersion relations in extra dimensions
- Non-Gaussian Error Contribution to Likelihood Analysis of the Matter Power Spectrum
- Models of Baryogenesis via Spontaneous Lorentz Violation
- Lorentz Invariance and the Cosmological Constant
- Cosmological Particle Creation in the Presence of Lorentz Violation
- Quantum Cramer-Rao bound for a Massless Scalar Field in de Sitter Space
- Particle Creation from Vacuum by Lorentz Violation