Abstract
By using a sum-rule approach we investigate the transition between the hydrodynamic and the collisionless regime of the collective modes in a one-dimensional (1D) harmonically trapped Bose gas. Both the weakly interacting gas and the Tonks-Girardeau limits are considered. We predict that the excitation of the dipole compression mode is characterized in the high-temperature collisionless regime by a beating signal of two different frequencies ( and ), while in the high-temperature collisional regime, the excitation consists of a single frequency (). This behavior differs from the case of the lowest breathing mode whose excitation consists of a single frequency () in both regimes. Our predictions for the dipole compression mode open promising perspectives for the experimental investigation of collisional effects in 1D configurations.
- Received 30 August 2016
DOI:https://doi.org/10.1103/PhysRevA.94.063605
©2016 American Physical Society