Publication Date
2010
Journal or Book Title
PHYSICAL REVIEW LETTERS
Abstract
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.
Pages
-
Volume
104
Issue
17
Recommended Citation
Cockburn, SP; Nistazakis, HE; Horikis, TP; Kevrekidis, PG; Proukakis, NP; and Frantzeskakis, DJ, "Matter-Wave Dark Solitons: Stochastic versus Analytical Results" (2010). PHYSICAL REVIEW LETTERS. 25.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/25
Comments
This is the prepublished version harvested from ArXiv. The published version is located at http://prl.aps.org/abstract/PRL/v104/i17/e174101