Optimal estimation of matter-field couplings in the dipole approximation

József Zsolt Bernád, Claudio Sanavio, André Xuereb

Published 2018-11-25Version 1

This paper builds and expands on our previous work [Phys. Rev. A 97, 063821 (2018)] and it is devoted to the study of Bayesian-inference approach in the context of estimating the dipole coupling of matter-field interactions. In particular, we consider the simplest model of a material qubit and a single-mode of the radiation field. We augment our former investigation with the uniform a priori probability density function and determine the maximum likelihood estimator as well. We demonstrate that a long interaction time, large initial mean photon number, or non-zero detuning between qubit's transition and the frequency of the single-mode have a destructive effect on the optimality of the estimation scenario. We also present several cases, where the estimation scenario is inconclusive despite many ideal conditions being met.