Nonlinearity, discreteness and disorder: localization, delocalization and transmission threshold in time-periodically driven systems
2009 (English)Conference paper (Other academic)
After a brief introduction to the physics of nonlinear localization and Anderson localization, the talk will focus on discussing how these two effects may compete with each other. Examples will be given showing that in different circumstances, nonlinearity may either enhance Anderson localization or lead to delocalization in a disordered system. In the end, we will discuss recent results showing that a locally acting time-periodic driving force may destroy Anderson localization, and due to nonlinear effects yield transmission of energy through a disordered system if the force strength is above some threshold value. The application of these results to experiments on light waves in optical wave guide arrays, as well as to quantum mechanical matter waves of Bose-Einstein condensates trapped in optical lattice potentials, will also be briefly discussed.
Place, publisher, year, edition, pages
IdentifiersURN: urn:nbn:se:liu:diva-52736OAI: oai:DiVA.org:liu-52736DiVA: diva2:285409
NordForsk Network Meeting on Coherent Quantum Gases – From Cold Atoms to Condensed Matter, Hamburg, December 7-8, 2009