  We investigate the nonlinear dissipative coherence bifurcation and population
dynamics of a two-component atomic Bose-Einstein condensate coupling with a
continuum. The coupling between the two-component condensates and the continuum
brings effective dissipations to the two-component condensates. The steady
states and the coherence bifurcation depend on both dissipation and the
nonlinear interaction between condensed atoms. The coherence among condensed
atoms may be even enhanced by the effective dissipations. The combination of
dissipation and nonlinearity allows one to control the switching between
different self-trapped states or the switching between a self-trapped state and
a non-self-trapped state.
