Excitations of attractive 1-D bosons: Binding vs. fermionization

Details Excitations of attractive 1-D bosons: Binding vs. fermionization Excitations of attractive 1-D bosons: Binding vs. fermionization

2008-06-05

arxiv.org/abs/0806.0990v1

New J. Phys. 10, 103021 (2008)

Physics

Condensed Matter

Other Condensed Matter

7 pages, 5 figures

Scientific paper

10.1088/1367-2630/10/10/103021

The stationary states of few bosons in a one-dimensional harmonic trap are investigated throughout the crossover from weak to strongly attractive interactions. For sufficient attraction, three different classes of states emerge: (i) N-body bound states, (ii) bound states of smaller fragments, and (iii) gas-like states that fermionize, that is, map to ideal fermions in the limit of infinite attraction. The two-body correlations and momentum spectra characteristic of the three classes are discussed, and the results are illustrated using the soluble two-particle model.

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