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Low temperature properties of harmonically confined two-dimensionalassemblies of dipolar bosons are systematically investigated by Monte Carlosimulations. Calculations carried out for different numbers of particles andstrengths of the confining potential yield evidence of a quantum phasetransition from a superfluid to a crystal-like phase, consistently with what isobserved in the ho- mogeneous system. It is found that the crystal phasenucleates in the center of the trap, as the density increases. Bose-Einsteincondensation vanishes at T = 0 upon entering the crystalline phase,concurrently with the disappearance of the superfluid response.

Structure, Bose-Einstein condensation and superfluidity of two-dimensional confined dipolar assemblies