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

2) ((1) Department of Physics & Astronomy; (2) Laboratoire de Physique des Lasers - Institut Galil'ee; France); Maxim Olshanii (1; Universit'e Paris-Nord; University of Southern California; USA; Vanja Dunjko (1); Vincent Lorent (2)

arxiv: cond-mat/0103085 · v1 · submitted 2001-03-04 · ❄️ cond-mat · quant-ph

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

Vanja Dunjko (1) , Vincent Lorent (2) , Maxim Olshanii (1 , 2) ((1) Department of Physics & Astronomy , University of Southern California , USA , (2) Laboratoire de Physique des Lasers - Institut Galil'ee , Universit'e Paris-Nord

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keywords regimetonks-girardeauaccessibilityalkalisanalysisanzatsatomicbethe

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

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