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

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dc.creatorFuchs, J. N.
dc.creatorLeyronas, X.
dc.creatorCombescot, R.
dc.date2003-09-11
dc.date.accessioned2026-07-07T02:53:23Z
dc.date.available2026-07-07T02:53:23Z
dc.descriptionWe 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.
dc.descriptionProceedings of the Laser Physics Workshop held in Hamburg (August 2003), Seminar on the Physics of Cold Trapped Atoms
dc.identifierhttps://arxiv.org/abs/cond-mat/0309276
dc.identifierhttp://arxiv.org/abs/cond-mat/0309276
dc.identifierLaser Physics 14,1-5 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22198
dc.subjectCondensed Matter
dc.titleCollective modes of a trapped Lieb-Liniger gas: a hydrodynamic approach
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