Hidden Markov model of atomic quantum jump dynamics in an optically probed cavity

Sec. III we present a summary of the general Bayesian method applied in the paper and of the formalism needed to provide the atomic state based on both past and future measurements. In Sec. IV we discuss how system parameters such as atomic transition probabilities and optical signal distributions can be efficiently determined in the HMM framework. In Sec. V we apply our formalism to experimental data, and we show that the atomic state and model parameters are indeed more decisively determined by the full time analysis. In Sec. VI we conclude with a discussion of the results and some further perspectives.