APS » PROLA » Phys. Rev. Lett. » Volume 86 » Issue 24

Phys. Rev. Lett. 86, 5413 - 5416 (2001)

Bosons in Cigar-Shaped Traps: Thomas-Fermi Regime, Tonks-Girardeau Regime, and In Between
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V. Dunjko1, V. Lorent2, and M. Olshanii1,2 *
1Department of Physics & Astronomy, University of Southern California, Los Angeles, California 90089-0484
2Laboratoire de Physique des Lasers-Institut Galilée, Université Paris-Nord, F-93430 Villetaneuse, France

Received 4 March 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/abstract/PRL/v86/p5413
DOI: 10.1103/PhysRevLett.86.5413
PACS: 05.30.Jp, 02.30.Ik, 03.75.Fi

* Electronic address: olshanii@physics.usc.edu

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