Phys. Rev. Lett. 86, 5413–5416 (2001)Bosons in Cigar-Shaped Traps: Thomas-Fermi Regime, Tonks-Girardeau Regime, and In BetweenReceived 4 March 2001; published in the issue dated 11 June 2001 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, δ-interacting Bose gases trapped in a harmonic potential. The resulting solutions cover the entire range of atomic densities. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.86.5413
DOI:
10.1103/PhysRevLett.86.5413
PACS:
05.30.Jp, 02.30.Ik, 03.75.Fi
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