Quantum Dynamics of Non-Degenerate Parameter Decay in an Optical Cavity
S. T. Gevorgyan, M. S. Gevorgyan · Journal of Contemporary Physics (Armenian Academy of Sciences) · 2022
The quantum dynamics of the number of photons, of the quantum entropy, and the Wigner functions of field interacting modes are studied for the process of non-degenerate parametric decay in an optical cavity, where a quantum with energy $$\hbar {{\omega }_{3}}$$ decays into two photons with energies $$\hbar {{\omega }_{2}}$$ and $$\hbar {{\omega }_{1}}$$ ( $$\hbar {{\omega }_{3}} = \hbar {{\omega }_{2}} + \hbar {{\omega }_{1}}$$ ). It is shown that the mode with frequency $${{\omega }_{3}}$$ can localize in a squeezed state in the region of very strong coupling between the interacting modes, and the modes with frequencies $${{\omega }_{1}}$$ and $${{\omega }_{2}}$$ localize in states that are statistical mixtures of Fock states regardless of the value of the coupling coefficient