Quantum metrology and estimation of Unruh effect

Abstract

We study the quantum metrology for a pair of entangled Unruh-Dewitt detectors when one of them is accelerated and coupled to a massless scalar field. Comparing with previous schemes, our model requires only local interaction and avoids the use of cavities in the probe state preparation process. We show that the probe state preparation and the interaction between the accelerated detector and the external field have significant effects on the value of quantum Fisher information, correspondingly pose variable ultimate limit of precision in the estimation of Unruh effect. We find that the precision of the estimation can be improved by a larger effective coupling strength and a longer interaction time. Alternatively, the energy gap of the detector has a range that can provide us a better precision. Thus we may adjust those parameters and attain a higher precision in the estimation. We also find that an extremely high acceleration is not required in the quantum metrology process.

24 pages,3 figures, typos corrected, new references added

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• The Unruh effect and its applications
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• Conditions for separability in multiqubit systems with an accelerating qubit using a conditional entropy
• Entropic uncertainty and quantum non-classicality of Unruh-Dewitt detectors in relativity
• Weak measurement effect on optimal estimation with lower and upper bound on relativistic metrology
• Acceleration Radiation from Derivative-Coupled Atoms Falling in Modified Gravity Black Holes
• Estimating the Unruh effect via entangled many-body probes
• Evolution of confined quantum scalar fields in curved spacetime. Part I
• The precision of parameter estimation for dephasing model under squeezed reservoir
• Gravitational time dilation as a resource in quantum sensing
• Using nanokelvin quantum thermometry to detect timelike Unruh effect in a Bose-Einstein condensate
• Geometric phases acquired for a two-level atom coupled to fluctuating vacuum scalar fields due to linear acceleration and circular motion
• Parameter estimation by decoherence in the double-slit experiment
• Measuring the Casimir-Polder potential with Unruh-DeWitt detector excitations
• Reveal the lost entanglement for accelerated atoms in the high-dimensional spacetime
• Estimation precision of parameter associated with Unruh-like effect
• Optimal estimation of parameters for scalar fields in expanding universe exhibiting Lorentz invariance violation
• Entanglement between two scalar fields in an expanding spacetime
• Precision in estimating Unruh temperature
• Parameter estimation in an anisotropic expanding spacetime
• Coherence revival under the Unruh effect and its metrological advantage
• Quantum Parameter Estimation for Detectors in Constantly Accelerated Motion
• Quantum estimation through a bottleneck