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Dynamic correlations of quantum magnets provide valuable information.However, especially at finite temperature, many observations, e.g., byinelastic neutron scattering experiments, are not yet quantitativelyunderstood. Generically, the elementary excitations of gapped quantum magnetsare hardcore bosons because no two of them can occupy the same site. Thepreviously introduced diagrammatic Br\"uckner approach dealt with hardcorebosons of a single flavor at finite temperature. Here, this approach isextended to hardcore bosons of several kinds (flavors). The approach based onladder diagrams is gauged with so far unknown rigorous results for the thermaloccupation function of multiflavored hardcore bosons in one dimension withnearest-neighbor hopping. For low temperatures, it works very well.Furthermore, we study to which extent the approach is a conservingapproximation. Empirical evidence shows that this is true only in thesingle-flavor case.

Low temperature thermodynamics of multi-flavored hardcore bosons by the Br\"uckner approach