Lowest scattering state of 1d Bose gases with attractive interactings

Pierre Lugan, David Clément, Philippe Bouyer +3 more

Pierre Lugan, David Clément, Philippe Bouyer +3 more

Yajiang Hao, Hongli Guo, Yunbo Zhang +1 more

We investigate the lowest scattering state of a one-dimensional Bose gas with attractive interactions trapped in a hard-wall trap. By solving the Bethe ansatz equation numerically, we determine the full energy spectrum and the exact wave function for different attractive interaction parameters. The resultant density distribution, momentum distribution, reduced one-body density matrix, and two-body correlation show that a decreased attractive interaction induces rich density profiles and specific correlation properties in the weakly attractive Bose gas.

G. E. Astrakharchik, Jordi Boronat, J. Casulleras +1 more

We consider a homogeneous 1D Bose gas with contact interactions and a large attractive coupling constant. This system can be realized in tight waveguides by exploiting a confinement induced resonance of the effective 1D scattering amplitude. By using the diffusion Monte Carlo method we show that, for small densities, the gaslike state is well described by a gas of hard rods. The critical density for cluster formation is estimated using the variational Monte Carlo method. The behavior of the correlation functions and of the frequency of the lowest breathing mode for harmonically trapped systems shows that the gas is more strongly correlated than in the Tonks-Girardeau regime.

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