Matter-wave dark solitons in a double-well potential

dc.creatorIchihara, Ryoko
dc.creatorDanshita, Ippei
dc.creatorNikuni, Tetsuro
dc.date2008-09-12
dc.date.accessioned2026-07-07T12:12:18Z
dc.date.available2026-07-07T12:12:18Z
dc.descriptionWe study stability of the first excited state of quasi-one-dimensional Bose-Einstein condensates in a double-well potential, which is called "$π$-state". The density notch in the $π$-state can be regarded as a standing dark soliton. From the excitation spectrum, we determine the critical barrier height, above which the $π$-state is dynamically unstable. We find that the critical barrier height decreases monotonically as the number of condensate atoms increases. We also simulate the dynamics of the $π$-state by solving the time-dependent Gross-Pitaevskii equation. We show that due to the dynamical instability the dark soliton starts to move away from the trap center and exhibits a large-amplitude oscillation.
dc.description6 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0809.2216
dc.identifierhttp://arxiv.org/abs/0809.2216
dc.identifierPhys. Rev. A 78, 063604 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.063604
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210504
dc.subjectOther Condensed Matter
dc.titleMatter-wave dark solitons in a double-well potential
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