Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between

Details Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between

2001-03-04

arxiv.org/abs/cond-mat/0103085v1

Phys. Rev. Lett., 86, 5413 (2001)

Physics

Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.86.5413

We present a quantitative analysis of the experimental accessibility of the Tonks-Girardeau gas in the current day experiments with cigar-trapped alkalis. For this purpose we derive, using a Bethe anzats generated local equation of state, a set of hydrostatic equations describing one-dimensional delta-interacting Bose gases trapped in a harmonic potential. The resulting solutions cover the_entire range_ of atomic densities.

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