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In a double-well potential, a Bose-Einstein condensate exhibits Josephsonoscillations or self-trapping, depending on its initial preparation and on theratio of inter-particle interaction to inter-well tunneling. Here, we elucidatethe role of the exchange symmetry for the dynamics with a mixture of twodistinguishable species with identical physical properties, i.e. which aregoverned by an isospecific interaction and external potential. In themean-field limit, the spatial population imbalance of the mixture can bedescribed by the dynamics of a single species in an effective potential withmodified properties or, equivalently, with an effective total particle number.The oscillation behavior can be tuned by populating the second species whilemaintaining the spatial population imbalance and all other parameters constant.In the corresponding many-body approach, the single-species descriptionapproximates the full counting statistics well also outside the realm ofspin-coherent states. The method is extended to general Bose-Hubbard systemsand to their classical mean-field limits, which suggests an effectivesingle-species description of multicomponent Bose gases with weaklyan-isospecific interactions.

Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons