Anderson localization and nonlinearity in flat bands

Daniel Leykam, Sergej Flach, Omri Bahat-Treidel, Anton S. Desyatnikov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We explore the interplay between Anderson localization and Kerr nonlinearity in a lattice system containing intersecting flat and dispersive bands. The disordered system supports two distinct types of modes: high energy modes experience conventional Anderson localization. Low energy modes have a much shorter localization length, but are also highly sparse, consisting of multiple, well-separated peaks. Nonlinearity introduces different regimes of wavepacket spreading, determined by which types or modes are strongly coupled together. The spreading of localized excitations can either be massively enhanced, or suppressed, depending on the strength of nonlinearity.

Original languageEnglish
Title of host publicationWorkshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013
PublisherIEEE Computer Society
Pages22-24
Number of pages3
ISBN (Print)9781479911189
DOIs
Publication statusPublished - Jan 1 2013
Externally publishedYes
Event2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013 - Sudak, Ukraine
Duration: Sep 10 2013Sep 11 2013

Publication series

NameWorkshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013

Other

Other2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013
CountryUkraine
CitySudak
Period9/10/139/11/13

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Fingerprint Dive into the research topics of 'Anderson localization and nonlinearity in flat bands'. Together they form a unique fingerprint.

Cite this