Matter-wave dark solitons: stochastic vs. analytical results
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.
Keywords
Cite
@article{arxiv.0909.1660,
title = {Matter-wave dark solitons: stochastic vs. analytical results},
author = {S. P. Cockburn and H. E. Nistazakis and T. P. Horikis and P. G. Kevrekidis and N. P. Proukakis and D. J. Frantzeskakis},
journal= {arXiv preprint arXiv:0909.1660},
year = {2015}
}
Comments
4 pages, 3 figures. Added several references