Quantum parameter identification for a chaotic atom ensemble system

We propose an indirect method based on an adaptive technique for analyzing the chaos behavior of a general quantum system with complex nonlinear evolution. Using this method, we design an identification function that effectively recognizes the uncertain parameters in a chaotic quantum system only by measuring the system outputs. As an example, we study an atom ensemble in an optical cavity and we obtain a specific parameter identification scheme after analyzing the chaos behaviors. We also verify the accuracy of the identification scheme using numerical simulations and we discuss the influence of different types of errors on the accuracy.