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Many-body matter-wave dark soliton
Dominique Delande1, Krzysztof Sacha2
1Laboratoire Kastler Brossel, UPMC-Paris6, ENS, CNRS; 4 Place Jussieu, F-75005 Paris, France.
Physical Review Letters
|March 4, 2014
Summary
Interacting bosons described by the Gross-Pitaevskii equation can form dark solitons. Many-body effects can fill these solitons, but simulations show they remain dark in single realizations.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Mathematical physics
Background:
- The Gross-Pitaevskii equation models interacting bosons in the mean-field approximation.
- One-dimensional systems can exhibit solitonic solutions.
- Repulsively interacting particles lead to dark solitons, characterized by local density minima.
Purpose of the Study:
- To investigate the impact of many-body effects on dark solitons in one-dimensional Bose systems.
- To determine if dark solitons remain observable under many-body interactions.
- To analyze the single-particle density behavior within dark solitons.
Main Methods:
- Utilizing quasiexact many-body simulations.
- Analyzing the behavior of solitonic solutions in one dimension.
- Examining single particle density distributions.
Main Results:
- Many-body effects can lead to the filling of dark solitons.
- In single realizations, simulated dark solitons appear completely dark.
- Despite soliton filling, the single-particle density tends towards uniformity.
Conclusions:
- Dark solitons in one-dimensional Bose systems can persist even with many-body interactions.
- Quasiexact simulations reveal that the apparent darkness of the soliton is maintained at the single realization level.
- The underlying single-particle density may become uniform, masking the soliton's presence in certain views.
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