Weakly interacting Bose gases with generalized uncertainty principle: Effects of quantum gravity

We investigate quantum gravity corrections due to the generalized uncertainty principle on three-dimensional weakly interacting Bose gases at both zero and finite temperatures using time-dependent Hatree–Fock–Bogoliubov theory. derive useful formulas for depletion, anomalous density, some thermodynamic quantities such as chemical potential, ground-state energy, free superfluid density. It is found that presence of a minimal length leads modify fluctuations condensate its properties in weak strong gravitational regimes. Unexpectedly, interplay effects stemming from interactions may lift fractions. show minimizes interaction force between bosons leading formation ultradilute condensates. Our results which can be readily probed current experiments offer new attractive possibility understand framework mechanics.