Exact results for one-dimensional disordered bosons with strong repulsion

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

2004-08-12

arxiv.org/abs/cond-mat/0408289v2

Phys. Rev. Lett. 94, 060402 (2005)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures, published version

Scientific paper

10.1103/PhysRevLett.94.060402

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.

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