  We analyze the spontaneous symmetry breaking (SSB) induced by one specific
component of a linearly coupled binary Bose-Einstein condensate (BEC). The
model is based on linearly coupled Schr\"odinger equations with cubic
nonlinearity and with a double-well (DW) potential acting on only one of the
atomic components. By numerical simulations, symmetric and asymmetric
ground-states were obtained, and an induced asymmetry in the partner field was
observed. In this sense, we properly demonstrated that the linear coupling
mixing the two-field component (Rabi coupling) promotes the (in)balance between
atomic species, as well as the appearance of the Josephson and SSB phases.

Quantum Gases;Pattern Formation and Solitons