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The properties of ultracold quantum gases of bosons with dipole-dipoleinteraction is investigated at finite temperature in the frame of therepresentative ensembles theory. Self-consistent coupled equations of motionare derived for the condensate and the non-condensate components. Correctionsdue to the dipolar interaction to the condensate depletion, the anomalousdensity and thermodynamic quantities such as the ground state energy, theequation of state, the compressibility and the presure are calculated in thehomogeneous case at both zero and finite temperatures. Effects of interactionand temperature on the structure factor are also discussed. Within the realm ofthe local density approximation, we generalize our results to the case of atrapped dipolar gas.

Properties of dipolar bosonic quantum gases at finite temperatures