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arXiv · 0909.1660

Matter-wave dark solitons: stochastic vs. analytical results

S. P. Cockburn·H. E. Nistazakis·T. P. Horikis·P. G. Kevrekidis·N. P. Proukakis·D. J. Frantzeskakis
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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.

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S. P. Cockburn, H. E. Nistazakis, T. P. Horikis, P. G. Kevrekidis, N. P. Proukakis, D. J. Frantzeskakis. 2009-09-25. Matter-wave dark solitons: stochastic vs. analytical results. https://doi.org/10.1103/physrevlett.104.174101

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