Anderson localization and nonlinearity in flat bands

Leykam, Daniel, Flach, Sergej, Bahat-Treidel, Omri and Desyatnikov, Anton S. (2013). Anderson localization and nonlinearity in flat bands. In: A. S. Desyatnikov, O. V. Shulika and I. A. Sukhoivanov, Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013. 2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013, Sudak, Ukraine, (22-24). 10-11 September 2013. doi:10.1109/NLP.2013.6646377

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Author Leykam, Daniel
Flach, Sergej
Bahat-Treidel, Omri
Desyatnikov, Anton S.
Title of paper Anderson localization and nonlinearity in flat bands
Conference name 2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013
Conference location Sudak, Ukraine
Conference dates 10-11 September 2013
Proceedings title Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013
Journal name Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013
Place of Publication Piscataway, NJ, United States
Publisher IEEE
Publication Year 2013
Sub-type Fully published paper
DOI 10.1109/NLP.2013.6646377
ISBN 9781479911189
Editor A. S. Desyatnikov
O. V. Shulika
I. A. Sukhoivanov
Start page 22
End page 24
Total pages 3
Abstract/Summary 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.
Q-Index Code E1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Conference Paper
Collections: School of Mathematics and Physics
Official 2014 Collection
 
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Created: Tue, 14 Jan 2014, 10:26:38 EST by System User on behalf of School of Mathematics & Physics