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Matter-wave dark solitons: stochastic versus analytical results
S P Cockburn1, H E Nistazakis, T P Horikis
1School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom.
Physical Review Letters
|May 21, 2010
Summary
Dark matter-wave solitons in atomic condensates exhibit fluctuations at finite temperatures. Averaging reveals temperature-dependent amplitude growth, accurately modeled by the dissipative Gross-Pitaevskii equation.
Area of Science:
- Atomic physics
- Condensed matter physics
- Quantum mechanics
Background:
- Dark matter-wave solitons are key to understanding quantum fluid dynamics.
- Finite temperatures introduce fluctuations that complicate soliton behavior.
- Previous studies often assumed zero temperature, limiting applicability.
Purpose of the Study:
- To investigate the dynamics of dark matter-wave solitons at finite temperatures.
- To quantify the impact of thermal fluctuations on soliton trajectories.
- To compare simulation results with experimental observations and theoretical models.
Main Methods:
- Simulations using the stochastic Gross-Pitaevskii equation.
- Analysis of individual and averaged soliton trajectories.
- Comparison with the dissipative Gross-Pitaevskii equation and perturbation theory.
Main Results:
- Individual soliton trajectories show experimentally observable spreads due to phase and density fluctuations.
- Averaging trajectories reveals a clear, temperature-dependent growth in oscillation amplitude.
- The dissipative Gross-Pitaevskii equation accurately captures average soliton dynamics.
Conclusions:
- Thermal fluctuations significantly influence dark matter-wave soliton dynamics.
- Averaging experimental data is crucial for observing underlying trends.
- The dissipative Gross-Pitaevskii equation provides a robust framework for modeling these systems.
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