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

Vanja Dunjko·Vincent Lorent·Maxim Olshanii
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Abstract

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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Vanja Dunjko, Vincent Lorent, Maxim Olshanii. 2001-03-04. Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between. https://doi.org/10.1103/physrevlett.86.5413

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