Exact results for one-dimensional disordered bosons with strong repulsion.

De Martino, A., Thorwart, M., Egger, R. & Graham, R. (2005). Exact results for one-dimensional disordered bosons with strong repulsion.. Physical Review Letters (PRL), 94(6), doi: 10.1103/PhysRevLett.94.060402

Abstract

We study one-dimensional disordered bosons with strong repulsive interactions. A Bose-Fermi mapping expresses this problem in terms of noninteracting Anderson-localized fermions, whereby known results for the distribution function of the local density of states, the spectral statistics, and density-density correlations can be transferred to this new domain of applicability. We show that disorder destroys bosonic quasi-long-range order by calculating the momentum distribution, and comment on the experimental observability of these predictions in ultracold atomic gases.