Double Morse Oscillator as a Platform for Nonclassical State Generation and Estimation

We investigate a quantum double Morse oscillator and show that the asymmetry parameter controlling the skewness of the double-well is a primary driver of nonlinearity and quantum behavior. Analytical solutions for bound states and energy spectra are obtained, revealing a clear dependence on this parameter. To quantify the induced resources, we evaluate measures of non-Gaussianity and nonclassicality, both of which increase with asymmetry and exhibit a monotonic relationship. Casting parameter identification as a metrological task, we derive optimal measurement strategies that minimize the estimation variance of the asymmetry, enabling precise characterization of the potential. These results establish the double Morse oscillator as a tunable platform for generating robust nonclassical states and high-precision estimation, with promising applications in quantum information processing, computation, and sensing.