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Lookup NU author(s): Dr Stuart Cockburn,
Professor Nikolaos Proukakis
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The dynamics of dark matter-wave solitons in elongated atomic condensates are discussed at finite temperatures. Simulations with the stochastic Gross-Pitaevskii equation reveal a noticeable, experimentally observable spread in individual soliton trajectories, attributed to inherent fluctuations in both phase and density of the underlying medium. Averaging over a number of such trajectories (as done in experiments) washes out such background fluctuations, revealing a well-defined temperature-dependent temporal growth in the oscillation amplitude. The average soliton dynamics is well captured by the simpler dissipative Gross-Pitaevskii equation, both numerically and via an analytically derived equation for the soliton center based on perturbation theory for dark solitons.
Author(s): Cockburn SP, Nistazakis HE, Horikis TP, Kevrekidis PG, Proukakis NP, Frantzeskakis DJ
Publication type: Article
Publication status: Published
Journal: Physical Review Letters
Print publication date: 29/04/2010
ISSN (print): 0031-9007
ISSN (electronic): 1079-7114
Publisher: American Physical Society
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