平波段的安德森局域化和非线性

2013 IEEE 2nd International Workshop "Nonlinear Photonics" (NLP*2013) Pub Date : 2013-10-28 DOI:10.1109/NLP.2013.6646377

D. Leykam, S. Flach, Omri Bahat-Treidel, A. Desyatnikov

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引用次数: 0

摘要

我们探讨了一个包含相交的平坦带和色散带的晶格系统中Anderson局域化和Kerr非线性之间的相互作用。无序系统支持两种不同类型的模式:高能模式经历传统的安德森局域化。低能模式具有更短的局域化长度，但也高度稀疏，由多个分离良好的峰组成。非线性引入了不同的波包传播机制，这取决于哪种类型或模式是强耦合在一起的。局部激励的扩散可以被极大地增强，也可以被抑制，这取决于非线性的强度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Anderson localization and nonlinearity in flat bands

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.

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2013 IEEE 2nd International Workshop "Nonlinear Photonics" (NLP*2013)

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