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In an equilibrium three-dimensional (3D) disordered condensate, it's wellestablished that disorder can generate an amount of normal fluid equaling to$\frac{4}{3}$ of the condensate depletion. The concept that the superfluid ismore volatile to the existence of disorder than the condensate is crucial tothe understanding of Bose glass phase. In this Letter, we show that, bybringing a weakly disordered 3D condensate to nonequilibrium regime via aquantum quench in the interaction, disorder can destroy superfluidsignificantly more, leading to a steady state in which the normal fluid densityfar exceeds $\frac{4}{3}$ of the condensate depletion. This suggests apossibility of engineering Bose Glass in the dynamic regime. As both thecondensate density and superfluid density are measurable quantities, ourresults allow an experimental demonstration of the dramatized interplay betweenthe disorder and interaction in the nonequilibrium scenario.

Quench Dynamics of Three-Dimensional Disordered Bose Gases: Condensation, Superfluidity and Fingerprint of Dynamical Bose Glass