Exact results for one-dimensional disordered bosons with strong repulsion
De Martino, A.
- Publisher: American Physical Society
QC | Condensed Matter - Statistical Mechanics
arxiv: Condensed Matter::Quantum Gases | Condensed Matter::Disordered Systems and Neural Networks
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.