We solve exactly a set of fully quantized coupled equations that describe the quantum dynamics, including the evolution of quantum fluctuations, entanglements, and correlations, of four-wave mixing (FWM) with matter waves. The analytical solution reveals Rabi oscillations, collapses and revivals, and agrees with FWM experiments. It also applies to optical FWM and the Rayleigh superradiance in Bose-Einstein condensates.
© 2005 Optical Society of America
Ying Wu and Xiaoxue Yang, "Fully quantized theory of four-wave mixing with bosonic matter waves," Opt. Lett. 30, 311-313 (2005)