Quantum correlations: light and molecular vibrations

This lecture explores the quantum correlations between light and molecular vibrations, covering topics such as molecular vibrations interacting with light, Raman scattering from a quantum perspective, creating light-vibration entanglement, and the use of plasmonic nanocavities to enhance light-matter interaction. The instructor delves into the counting of phonons, single photon detection, and the birth and death of a single vibrational quantum. The lecture also discusses optomechanical interactions, photon coincidence measurements, and the statistics of the two-mode squeezed state. Furthermore, it examines equilibrium phonon statistics, decay of phonon-mediated quantum correlations, and the preparation of phonon Fock states. The concepts of time-bin entanglement, polarization mapping, and CHSH inequality are also covered.