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Matter-Wave Dark Solitons: Stochastic versus Analytical Results

Lookup NU author(s): Dr Stuart Cockburn, Professor Nikolaos ProukakisORCiD

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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.

Publication metadata

Author(s): Cockburn SP, Nistazakis HE, Horikis TP, Kevrekidis PG, Proukakis NP, Frantzeskakis DJ

Publication type: Article

Publication status: Published

Journal: Physical Review Letters

Year: 2010

Volume: 104

Issue: 17

Print publication date: 29/04/2010

ISSN (print): 0031-9007

ISSN (electronic): 1079-7114

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevLett.104.174101

DOI: 10.1103/PhysRevLett.104.174101

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