Exact results for one-dimensional disordered bosons with strong repulsion

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.

5 pages, 2 figures, published version

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• Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas
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• Finite-temperature properties of one-dimensional hard-core bosons in a quasiperiodic optical lattice
• Ground-state and dynamic properties of hard-core bosons in one-dimensional incommensurate optical lattices with harmonic trap
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• Quantum criticality in disordered bosonic optical lattices
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