Localization in a nonlinear disordered system

K. Rasmussen, D. Cai, A. R. Bishop, N. Grønbech-Jensen

Research output: Contribution to journalArticle

Abstract

The interplay between nonlinearity and disorder is studied in a discrete one-dimensional Schrödinger system. Using a two-point correlation function we demonstrate that the preferred state of the system comprises narrow intrinsic localized states corresponding to the intrinsic localized states of the ordered system. The essence of the interplay between disorder and nonlinearity is found to reside in the nucleation process of the localized states. We emphasize the role of different classes (focusing and defocusing) of nonlinearity in enhancing or suppressing localization induced by disorder.

Original languageEnglish (US)
Pages (from-to)421-427
Number of pages7
JournalEPL
Volume47
Issue number4
DOIs
StatePublished - Aug 11 1999

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nonlinear systems
nonlinearity
disorders
defocusing
nucleation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Rasmussen, K., Cai, D., Bishop, A. R., & Grønbech-Jensen, N. (1999). Localization in a nonlinear disordered system. EPL, 47(4), 421-427. https://doi.org/10.1209/epl/i1999-00405-1

Localization in a nonlinear disordered system. / Rasmussen, K.; Cai, D.; Bishop, A. R.; Grønbech-Jensen, N.

In: EPL, Vol. 47, No. 4, 11.08.1999, p. 421-427.

Research output: Contribution to journalArticle

Rasmussen, K, Cai, D, Bishop, AR & Grønbech-Jensen, N 1999, 'Localization in a nonlinear disordered system', EPL, vol. 47, no. 4, pp. 421-427. https://doi.org/10.1209/epl/i1999-00405-1
Rasmussen K, Cai D, Bishop AR, Grønbech-Jensen N. Localization in a nonlinear disordered system. EPL. 1999 Aug 11;47(4):421-427. https://doi.org/10.1209/epl/i1999-00405-1
Rasmussen, K. ; Cai, D. ; Bishop, A. R. ; Grønbech-Jensen, N. / Localization in a nonlinear disordered system. In: EPL. 1999 ; Vol. 47, No. 4. pp. 421-427.
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