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We study the nonlinear localized modes in two-component Bose-Einsteincondensates with parity-time-symmetric Scarf-II potential, which can bedescribed by the coupled Gross-Pitaevskii equations. Firstly, we investigatethe linear stability of the nonlinear modes in the focusing and defocusingcases, and get the stable and unstable domains of nonlinear localized modes.Then we validate the results by evolving them with 5% perturbations as aninitial condition. Finally, we get stable solitons by considering excitationsof the soliton via adiabatical change of system parameters. These findings ofnonlinear modes can be potentially applied to physical experiments of matterwaves in Bose-Einstein condensates.

Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with PT-symmetric Scarf-II potential