Relevant publications on the topic: 

Multiworm algorithm quantum Monte Carlo or on arXiv

Thermometry of bosonic mixtures in Optical Lattices via Demixing or on arXiv

Inter-species entanglement of Bose-Bose mixtures trapped in optical lattices or on arXiv

Quasi-molecular bosonic complexes-a pathway to SQUID with controlled sensitivity or on arXiv

Demixing effects in mixtures of two bosonic species or on arXiv

Analysis and resolution of the ground-state degeneracy of the two-component Bose-Hubbard model or on arXiv

Ising antiferromagnet with ultracold bosonic mixtures confined in a harmonic trap or on arXiv

Mott-insulator-SF transition lobe in the presence of a second superfluid component 

Critical entropies for magnetic ordering in bosonic mixtures on a lattice or on arXiv

Mott-insulator-to-superfluid transition in Bose-Bose mixtures in a two-dimensional lattice or on arXiv

Sign-alternating interaction mediated by strongly correlated lattice bosons or on arXiv