Bosons in Cigar-Shaped Traps: Thomas-Fermi Regime, Tonks-Girardeau Regime, and In Between

V. Dunjko; V. Lorent; M. Olshanii

doi:10.1103/PhysRevLett.86.5413

Bosons in Cigar-Shaped Traps: Thomas-Fermi Regime, Tonks-Girardeau Regime, and In Between

V. Dunjko, V. Lorent, and M. Olshanii

Phys. Rev. Lett. 86, 5413 – Published 11 June 2001

Abstract

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.

Received 4 March 2001

DOI:https://doi.org/10.1103/PhysRevLett.86.5413

Authors & Affiliations

V. Dunjko¹, V. Lorent², and M. Olshanii^1,2,*

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