Symmetry breaking of a Bose-Fermi mixture in a triple-well potential

► We demonstrate the phase diagram in (NF,NB) plane. ► We then illustrate distinct regions in the phase diagram of the (NF,NB) plane and the corresponding novel typical density profiles of ground states. ► The novel density profiles of symmetric and asymmetric ground states are demonstrated. ► We illustrate the novel phase transitions among some of these ground states.