Strong coupling regime: Optomechanics

This lecture covers the strong coupling regime in cavity quantum optomechanics, focusing on the interaction between coupled resonators. It explains features like avoided crossing and energy transfer, and introduces the quantum description using the Jaynes-Cummings Hamiltonian. The lecture delves into a toy model with two masses and springs, discussing classical and quantum equations of motion, coupled structures, and the solvability of equations. It also explores resonators A and B, the signature of the strong coupling regime, energy transfer dynamics, and the Jaynes-Cummings model in quantum optics. The lecture concludes with experimental evidence, optomechanical normal-mode splitting, and the implications of strong coupling beyond the traditional regime.