This lecture explores the quantum correlations between light and molecular vibrations, focusing on topics such as light-vibration entanglement, plasmonic nanojunctions, quantum sensing, and the optomechanical interaction. The instructor discusses the interaction of molecular vibrations with light, the quantum theory of Raman scattering, and the quantization of molecular vibrations. The lecture also covers the detection of zero-point fluctuations, cavity optomechanics, and thermal noise in the context of molecular oscillators. Furthermore, it delves into the classical and quantum models of Raman scattering, emphasizing transition amplitudes and the full quantum model of light-vibration interactions.