Bosons in cigar-shaped traps: Thomas-Fermi regime, Tonks-Girardeau regime, and in between.
We present a quantitative analysis of the experimental accessibility of the Tonks-Girardeau gas in present-day experiments with cigar-trapped alkalis. For this purpose we derive, using a Bethe ansatz 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.
Dunjko
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Department of Physics & Astronomy, University of Southern California, Los Angeles, California 90089-0484, USA.
Lorent
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Olshanii
M
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