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

Abstract

We present numerical evidence from Monte Carlo simulations that the superfluid-insulator quantum phase transition of interacting bosons subject to strong disorder in one dimension is controlled by the strong-randomness critical point. At this critical point the distribution of superfluid stiffness over disorder realizations develops a power-law tail reflecting a universal distribution of weak links. The Luttinger parameter on the other hand does not take on a universal value at this critical point, in marked contrast to the known Berezinskii-Kosterlitz-Thouless-like superfluid-insulator transition in weakly disordered systems. We develop a finite-size scaling procedure which allows us to directly compare the numerical results from systems of linear size up to 1024 sites with theoretical predictions obtained by Altman et al. [ Phys. Rev. Lett. 93 150402 (2004)] using a strong disorder renormalization group approach. The data shows good agreement with the scaling expected at the strong-randomness critical point.

8 pages, 7 figures

References in corpus (10)

• Power-law distributions in empirical data
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate
• Phase transition of one dimensional bosons with strong disorder
• Phase transition of interacting disordered bosons in one dimension
• The insulating phases and superfluid-insulator transition of disordered boson chains
• Excitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
• Classical-Field Renormalization Flow of One-Dimensional Disordered Bosons
• Disordered bosons in one dimension: from weak to strong randomness criticality
• Susceptibility at the Superfluid-Insulator Transition for One-Dimensional Disordered Bosons

Cited by in corpus (16)

• Observation of a disordered bosonic insulator from weak to strong interactions
• Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
• Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model
• Weak Versus Strong Disorder Superfluid-Bose Glass Transition in One Dimension
• Properties of the random-singlet phase: from the disordered Heisenberg chain to an amorphous valence-bond solid
• Asymptotically Exact Scenario of Strong-Disorder Criticality in One-Dimensional Superfluids
• Many-body localization of spinless fermions with attractive interactions in one dimension
• Superfluid/Bose-glass transition in one dimension
• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model
• Superfluid-insulator transition of two-dimensional disordered Bose gases
• Kane-Fisher weak link physics in the clean scratched-XY model
• Phases and Phase Transitions of the Disordered Quantum Clock Model
• Full distribution of the superfluid fraction and extreme value statistics in a one dimensional disordered Bose gas
• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension
• Strong randomness criticality in the scratched-XY model