Experiments on One-Dimensional Bose Gases: From Thomas Fermi to Tonks-Girardeau

Trevor Wenger

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.

Toshiya Kinoshita, Trevor Wenger, David S. Weiss

Tim Langen

B. Laburthe-Tolra, Kenneth M. O’Hara, J. H. Huckans +4 more

The loading of a Bose-Einstein condensate into a deep two-dimensional optical lattice provides a unique way to study one-dimensional Bose gases: the strong radial confinement freezes any motion in two dimensions, and for deep enough lattices, the system can be seen as an array of independent I D tubers. For our experimental parameters, the ID gas is predicted to be in an intermediate regime between the Tonks-Girardeau and the Thomas-Fermi regimes. We performed experiments showing that some long range phase coherence is present in this regime. We investigated correlation properties of these gases by studying their collective oscillations. In addition, we investigated the ID Mott transition by adiabatically loading the 1D gases into a 1D optical lattice.

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