Spatial solitons in thermo-optical media from the nonlinear Schrodinger-Poisson equation and dark matter analogues
arXiv:1703.09095 · doi:10.1103/PhysRevA.95.013844
Abstract
We analyze theoretically the Schrodinger-Poisson equation in two transverse dimensions in the presence of a Kerr term. The model describes the nonlinear propagation of optical beams in thermooptical media and can be regarded as an analogue system for a self-gravitating self-interacting wave. We compute numerically the family of radially symmetric ground state bright stationary solutions for focusing and defocusing local nonlinearity, keeping in both cases a focusing nonlocal nonlinearity. We also analyze excited states and oscillations induced by fixing the temperature at the borders of the material. We provide simulations of soliton interactions, drawing analogies with the dynamics of galactic cores in the scalar field dark matter scenario.
13 pages, 11 figures
References in corpus (12)
- Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
- Fiber-optical analogue of the event horizon
- Understanding the Core-Halo Relation of Quantum Wave Dark Matter, DM, from 3D Simulations
- Axion dark matter, solitons, and the cusp-core problem
- Multipole vector solitons in nonlocal nonlinear media
- Scalar Field Dark Matter: non-spherical collapse and late time behavior
- Scalar Field Dark Matter: head-on interaction between two structures
- Collisional interactions between self-interacting non-relativistic boson stars: effective potential analysis and numerical simulations
- Bose-Einstein condensates with attractive 1/r interaction: The case of self-trapping
- Interference pattern in the collision of structures in the BEC dark matter model: comparison with fluids
- Variational methods with coupled Gaussian functions for Bose-Einstein condensates with long-range interactions. II. Applications
- Dynamics and stability of Bose-Einstein condensates with attractive 1/r interaction