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Coherent Soliton States Hidden in Phase Space and Stabilized by Gravitational Incoherent Structures
Josselin Garnier1, Kilian Baudin2, Adrien Fusaro2,3
1CMAP, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau Cedex, France.
Physical Review Letters
|July 16, 2021
Summary
We discovered a new regime where nonlinear systems form "hidden" solitons within random fluctuations. These solitons are stabilized by the surrounding structure and have implications for dark matter and quantum physics.
Area of Science:
- Nonlinear Dynamics
- Quantum Physics
- Astrophysics
Background:
- Schrödinger-Poisson (or Newton-Schrödinger) equation describes systems with gravitational interactions.
- Modulationally unstable initial conditions can lead to complex state formations.
Purpose of the Study:
- Investigate soliton formation in nonlinear systems with gravity.
- Uncover previously unrecognized self-organization regimes.
- Explore the nature and stability of hidden coherent soliton states.
Main Methods:
- Analysis within the Schrödinger-Poisson (or Newton-Schrödinger) equation framework.
- Development of a multiscale theory using coupled coherent-incoherent wave turbulence formalisms.
- Numerical identification and theoretical description of hidden binary soliton systems.
Main Results:
- A new regime was identified where increasing nonlinearity leads to self-organization into incoherent structures containing hidden solitons.
- These hidden solitons are immersed in random wave fluctuations, making them difficult to detect in usual domains but visible in phase-space.
- The hidden solitons are stabilized and trapped by the surrounding incoherent structure.
Conclusions:
- Hidden solitons are a novel phenomenon in nonlinear systems with gravitational interactions.
- This finding has potential applications in self-gravitating Boson models for fuzzy dark matter.
- It offers new insights into quantum-to-classical correspondence and can be observed in nonlocal nonlinear optics experiments.
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