Dynamic features of stimulated raman atomic-molecular conversion in a mixture of two bose gases with the formation of bose condensates of heteronuclear molecules

Abstract

Based on the mean-field approximation, a system of nonlinear differential equations is obtained which describes the dynamics of atomic-molecular conversion induced by two resonance Raman laser pulses. The obtained integrals of motion allow one to reduce the problem to one evolution equation for the density of molecules. The solutions of this equation show that different time evolution regimes of the system are possible, depending on the initial conditions: the periodic and aperiodic regimes and the rest. The dependences of the period and amplitude on the initial density of particles and the initial phase difference are studied in detail. The possibility of the phase control of the system dynamics is proved.