Anderson localization and nonlinearity in flat bands

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

doi:10.1109/NLP.2013.6646377

Anderson localization and nonlinearity in flat bands

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	English
Title of host publication	Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013
Publisher	IEEE Computer Society
Pages	22-24
Number of pages	3
ISBN (Print)	9781479911189
DOIs	https://doi.org/10.1109/NLP.2013.6646377
Publication status	Published - 2013
Event	2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013 - Sudak, Ukraine Duration: 10 Sept 2013 → 11 Sept 2013

Publication series

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

Conference

Conference	2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013
Country/Territory	Ukraine
City	Sudak
Period	10/09/13 → 11/09/13

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10.1109/NLP.2013.6646377

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Leykam, D., Flach, S., Bahat-Treidel, O., & Desyatnikov, A. S. (2013). Anderson localization and nonlinearity in flat bands. In Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013 (pp. 22-24). Article 6646377 (Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013). IEEE Computer Society. https://doi.org/10.1109/NLP.2013.6646377

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title = "Anderson localization and nonlinearity in flat bands",

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.",

author = "Daniel Leykam and Sergej Flach and Omri Bahat-Treidel and Desyatnikov, {Anton S.}",

year = "2013",

doi = "10.1109/NLP.2013.6646377",

language = "English",

isbn = "9781479911189",

series = "Workshop Proceedings - 2nd International Workshop {"}Nonlinear Photonics{"}, NLP 2013",

publisher = "IEEE Computer Society",

pages = "22--24",

booktitle = "Workshop Proceedings - 2nd International Workshop {"}Nonlinear Photonics{"}, NLP 2013",

address = "United States",

note = "2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013 ; Conference date: 10-09-2013 Through 11-09-2013",

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Leykam, D, Flach, S, Bahat-Treidel, O & Desyatnikov, AS 2013, Anderson localization and nonlinearity in flat bands. in Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013., 6646377, Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013, IEEE Computer Society, pp. 22-24, 2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013, Sudak, Ukraine, 10/09/13. https://doi.org/10.1109/NLP.2013.6646377

Anderson localization and nonlinearity in flat bands. / Leykam, Daniel; Flach, Sergej; Bahat-Treidel, Omri et al.
Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013. IEEE Computer Society, 2013. p. 22-24 6646377 (Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Bahat-Treidel, Omri

AU - Desyatnikov, Anton S.

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N2 - 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.

AB - 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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M3 - Conference contribution

SN - 9781479911189

T3 - Workshop Proceedings - 2nd International Workshop "Nonlinear Photonics", NLP 2013

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

PB - IEEE Computer Society

T2 - 2013 IEEE 2nd International Workshop on Nonlinear Photonics, NLP 2013

Y2 - 10 September 2013 through 11 September 2013

ER -

Anderson localization and nonlinearity in flat bands

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