Quantum limits to mass sensing in a gravitational field

Luigi Seveso, Valerio Peri, Matteo G A Paris
2017 Journal of Physics A: Mathematical and Theoretical  
We address the problem of estimating the mass of a quantum particle in a gravitational field and seek the ultimate bounds to precision of quantum-limited detection schemes. In particular, we study the effect of the field on the achievable sensitivity and address the question of whether quantumness of the probe state may provide a precision enhancement. The ultimate bounds to precision are quantified in terms of the corresponding Quantum Fisher Information. Our results show that states with no
more » ... at states with no classical limit perform better than semiclassical ones and that a non-trivial interplay exists between the external field and the statistical model. More intense fields generally lead to a better precision, with the exception of position measurements in the case of freely-falling systems.
doi:10.1088/1751-8121/aa6cc5 fatcat:fukphnf6ebdaljfni33d6ujqau