Chaotic destruction of Anderson localization in nonlinear lattices

• IFISC Seminar

• Arkady Pikovsky
• Department of Physics, Potsdam University, Potsdam, Germany
• 8 març de 2012 a les 14:30
• IFISC Seminar Room
• Announcement file

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We discuss what happens to Anderson localization in a disordered lattice if nonlinearity is present. The situation is relevant for lattices of coupled oscillators, for a Bose-Einstein condensate (described by a nonlinear Gross-Pitaevsky equation) in a disordered potential, and to light propagation in a disordered nonlinear medium. Our main model is a discrete Anderson chain with a nonlinear term (nonlinear Schroedinger lattice with disorder). We discuss three problems:

i) How an initially localized wave packet spreads;


ii) How a regular wave is transmitted through a nonlinear disordered layer; and


iii) How a thermalization in a finite disordered lattice occurs.


In all cases nonlinearity leads to a weak chaos and delocalization

Coffee and cookies will be served 15 minutes before the start of the seminar

Detalls de contacte:

Manuel Matías

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