Stuttgart 2012 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 54: Poster 3
Q 54.52: Poster
Thursday, March 15, 2012, 16:30–19:00, Poster.I+II
Stability of nonlocal solitary waves in random nonlinear media — •Fabian Maucher1,2, Wieslaw Krolikowski2, and Stefan Skupin1,3 — 1Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany — 2Laser Physics Centre, Research School of Physics and Engineering, Australian National University, Canberra, ACT 0200, Australia — 3Friedrich Schiller University, Institute of Condensed Matter Theory and Optics, 07743 Jena, Germany
Nonlocal nonlinearities are common to diverse physical settings, such as beam propagation in media where certain transport processes like heat or charge transfer, or diffusion and/or drift of atoms are responsible for the nonlinearity. It also occurs in systems involving long-range interaction of atoms or molecules, e.g., nematic liquid crystals or Bose-Einstein condensates with long-range interatomic interaction. Here, we consider solitary waves subject to random perturbations, where the randomness acts on the source of the underlying physical process leading to nonlocality. We use both numerical simulations and analytical methods to show that stability of bright solitons in presence of random perturbations can be dramatically enhanced if the nonlocality-induced correlation length becomes comparable to the extent of the wave packet. In the regime of weakly correlated disorder, a simplified mean-field approach allows to estimate the life-time of solitary wave-packets.