  We study the nonlinear localized modes in two-component Bose-Einstein
condensates with parity-time-symmetric Scarf-II potential, which can be
described by the coupled Gross-Pitaevskii equations. Firstly, we investigate
the linear stability of the nonlinear modes in the focusing and defocusing
cases, and get the stable and unstable domains of nonlinear localized modes.
Then we validate the results by evolving them with 5% perturbations as an
initial condition. Finally, we get stable solitons by considering excitations
of the soliton via adiabatical change of system parameters. These findings of
nonlinear modes can be potentially applied to physical experiments of matter
waves in Bose-Einstein condensates.
