Collective modes of a trapped Lieb-Liniger gas: a hydrodynamic approach

Details Collective modes of a trapped Lieb-Liniger gas: a hydrodynamic approach Collective modes of a trapped Lieb-Liniger gas: a hydrodynamic approach

2003-09-11

arxiv.org/abs/cond-mat/0309276v1

Laser Physics 14,1-5 (2004)

Physics

Condensed Matter

Proceedings of the Laser Physics Workshop held in Hamburg (August 2003), Seminar on the Physics of Cold Trapped Atoms

Scientific paper

We consider a trapped repulsive one-dimensional (1D) Bose gas at very low temperature. In order to study the collective modes of this strongly interacting system, we use a hydrodynamic approach, where the gas is locally described by the Lieb-Liniger model of bosons interacting via a repulsive delta potential. Solving the corresponding linearized hydrodynamic equations, we obtain the collective modes and concentrate more specifically on the lowest compressional mode. This is done by finding models, approaching very closely the exact equation of stae of the gas, for which the linearized hydrodynamic equations are exactly solvable. Results are in excellent agreement with those of the sum rule approach of Menotti and Stringari.

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