Superfluid motion of light past a solitonic obstacle

We consider the nonlinear Schroedinger flow past a dynamic obstacle, where the obstacle itself is a localized solitary wave coupled to the fluid. This is achieved in a cross-phase coupled nonlinear Schroedinger system. Similar to an immobile obstacle, we find three distinct dynamical regimes of sub-...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2012-03, Vol.85 (3), Article 033824
Main Authors: Batz, Sascha, Peschel, Ulf
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Dynamical systems
Dynamics
Fluid flow
Fluids
Nonlinearity
Obstacles
Schroedinger equation
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Summary:We consider the nonlinear Schroedinger flow past a dynamic obstacle, where the obstacle itself is a localized solitary wave coupled to the fluid. This is achieved in a cross-phase coupled nonlinear Schroedinger system. Similar to an immobile obstacle, we find three distinct dynamical regimes of sub-, trans-, and supercritical flow. We determine the phase diagram and show that the subcritical speed, below which a superfluid flow is possible, depends on the cross coupling and thus on the backaction of the fluid on the obstacle. The time dynamics of the cross-phase coupled system is analyzed numerically and we use the developed hydrodynamic model to interpret the results.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.85.033824