  Dynamics of atomic and molecular bright solitons in a hybrid atom-molecular
BEC (Bose Einstein Condensate) system of 85Rb coupled through Magnetic Feshbach
Resonance (MFR) has been investigated. By solving the time independent
atom-molecular coupled equations, the initial atomic and molecular
wavefunctions were obtained and the dynamics of the initial atomic and
molecular waves in a spherical one-dimensional trap were studied by solving the
time-dependent atom-molecular coupled equations. During evolution two types of
induced or stimulated decays of the feshbach molecules were switched on. These
two types of stimulated decays of the feshbach molecules to the two-atom
continuum and to the bound level of the lowest hyperfinee state of the molecule
were induced by laser or Radio Frequency fields. Hence the strength of these
two induced decays can be controlled by varying the laser or RF field
parameters e.g. intensity, detuning etc. It is found that depending on the
relative strength of these two types of stimulated or induced decays initial
atomic and molecular waves assume solitonic nature as bright solitons during
evolution and the stability of these solitonic waves can be achieved by
controlling the relative strength of induced decays in two different channels.
It is shown that these two induced decays lead to the formation of stable
atomic and molecular solitons by suppressing the initial oscillations and
instability in the atom-molecular coupled system of 85Rb atoms.
