Hydrodynamic VS collisionless dynamics of a 1D harmonically trapped Bose gas

Abstract

By using a sum rule approach we investigate the transition between the hydrodynamic and the collisionless regime of the collective modes in a 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 (${\omega }_z$ and $3{\omega }_z$) while, in the high temperature collisional regime, the excitation consists of a single frequency ($\sqrt{7}{\omega }_z$). This behaviour differs from the case of the lowest breathing mode whose excitation consists of a single frequency ($2{\omega }_z$) in both regimes. Our predictions for the dipole compression mode open promising perspectives for the experimental investigation of collisional effects in 1D configurations.

8 pages, 2 figures

References in corpus (8)

• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Breakdown of thermalization in finite one-dimensional systems
• Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
• Collective Modes in a Unitary Fermi Gas across the Superfluid Phase Transition
• First and second sound in a strongly interacting Fermi gas
• Relaxation of a high-energy quasiparticle in a one-dimensional Bose gas
• Variational theory of two-fluid hydrodynamic modes at unitarity
• Restoring integrability in one-dimensional quantum gases by two-particle correlations

Cited by in corpus (2)

• Thermal instability, evaporation and thermodynamics of one-dimensional liquids in weakly-interacting Bose-Bose mixtures
• Superfluidity in the 1D Bose-Hubbard Model