English

Exact results for one-dimensional disordered bosons with strong repulsion

Statistical Mechanics 2016-08-31 v2

Abstract

We study one-dimensional incommensurate bosons with strong repulsive interactions and weak disorder. In analogy to the clean Tonks-Girardeau gas, a Bose-Fermi mapping expresses this problem in terms of disordered free fermions. Thereby many known results apply, in particular for the density-density correlations, the distribution function of the local density of states, and the complete spectral statistics. We also analyze the bosonic momentum distribution, and comment on the experimental observability of these predictions in ultracold atomic gases.

Keywords

Cite

@article{arxiv.cond-mat/0408289,
  title  = {Exact results for one-dimensional disordered bosons with strong repulsion},
  author = {A. De Martino and M. Thorwart and R. Egger and R. Graham},
  journal= {arXiv preprint arXiv:cond-mat/0408289},
  year   = {2016}
}

Comments

5 pages, 2 figures, published version

R2 v1 2026-07-22T11:06:44.723Z