Experiments on a one-dimensional Bose gas: Thomas Fermi to Tonks-Girardeau

Trevor Wenger

Liming Guan, Shu Chen

Patrik Öhberg, Luis Santos

We analyze in detail the expansion of a 1D Bose gas after removing the axial confinement. We show that during its one-dimensional expansion the density of the Bose gas does not follow a self-similar solution. Our analysis is based on a nonlinear Schrödinger equation with variable nonlinearity whose validity is discussed for the expansion problem, by comparing with an exact Bose-Fermi mapping for the case of an initial Tonks-Girardeau gas. For this case, the gas is shown to expand self-similarly, with a different scaling law compared to the one-dimensional Thomas-Fermi condensate.

Toshiya Kinoshita, Trevor Wenger, David S. Weiss

William D. Phillips, J. H. Huckans, B. Laburthe-Tolra +4 more

Vanja Dunjko, V. Lorent, Maxim Olshanii

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.