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We present numerical evidence from Monte Carlo simulations that thesuperfluid-insulator quantum phase transition of interacting bosons subject tostrong disorder in one dimension is controlled by the strong-randomnesscritical point. At this critical point the distribution of superfluid stiffnessover disorder realizations develops a power-law tail reflecting a universaldistribution of weak links. The Luttinger parameter on the other hand does nottake on a universal value at this critical point, in marked contrast to theknown Berezinskii-Kosterlitz-Thouless-like superfluid-insulator transition inweakly disordered systems. We develop a finite-size scaling procedure whichallows us to directly compare the numerical results from systems of linear sizeup to 1024 sites with theoretical predictions obtained by Altman et al. [ Phys.Rev. Lett. 93 150402 (2004)] using a strong disorder renormalization groupapproach. The data shows good agreement with the scaling expected at thestrong-randomness critical point.

Numerical evidence for strong randomness scaling at a superfluid-insulator transition of one-dimensional bosons