Hydrodynamic versus collisionless dynamics of a one-dimensional harmonically trapped Bose gas

Year: 2016

Authors: De Rosi G., Stringari S.

Autors Affiliation: Univ Trento, INO CNR BEC Ctr, Via Sommarive 14, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, Via Sommarive 14, I-38123 Povo, Italy.

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 (omega(z) and 3 omega(z)), while in the high-temperature collisional regime, the excitation consists of a single frequency (root 7 omega(z)). This behavior 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.

Journal/Review: PHYSICAL REVIEW A

Volume: 94 (6)      Pages from: 63605-1  to: 63605-8

More Information: Fruitful discussions with C. Salomon, S. Giorgini, and C. Menotti are acknowledged. The authors are grateful to the referee of this paper for suggesting the inclusion of Eq. (19) in the text. This work has been supported by ERC through the QGBE grant, by the QUIC grant of the Horizon2020 FET program, and by Provincia Autonoma di Trento.
KeyWords: Scissors Mode; Quantum; Integrability; Bosons; Superfluidity; System
DOI: 10.1103/PhysRevA.94.063605

ImpactFactor: 2.925
Citations: 15
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