We study the ground state and classify its phase diagram for a mixture of two spin-1 condensates in the absence of an external magnetic $\left(B\right)$ field according to atomic parameters for intra- and interspecies spin-exchange coupling and singlet-pairing interaction. Ignoring the interspecies singlet-pairing interaction, the ground-state phases are found analytically. A numerical approach of simulated annealing is adopted when the singlet-pairing interaction is present. Our results on the phase diagram and the boundaries between phases allow for easy identifications of quantum phase transitions, which can be induced through the tuning of optical traps and atom numbers. They provide insight and guidance for several ongoing experiments on mixtures of spinor condensates.

• Received 25 August 2008

DOI:https://doi.org/10.1103/PhysRevA.79.023613