Matter-wave dark solitons: stochastic vs. analytical results

Details Matter-wave dark solitons: stochastic vs. analytical results Matter-wave dark solitons: stochastic vs. analytical results

2009-09-09

arxiv.org/abs/0909.1660v2

Phys. Rev. Lett. 104, 174101 (2010)

Physics

Condensed Matter

Quantum Gases

4 pages, 3 figures. Added several references

Scientific paper

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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