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Destruction of Anderson Localization by a Weak Nonlinearity
Open accessAbstract
We study numerically the spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schrödinger lattice with disorder. We demonstrate that above a certain critical strength of nonlinearity the Anderson localization is destroyed and an unlimited subdiffusive spreading of the field along the lattice occurs. The second moment grows with time proportional, variant t alpha, with the exponent alpha being in the range 0.3-0.4. For small nonlinearities the distribution remains localized in a way similar to the linear case.
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Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Transport and Anderson localization in disordered two-dimensional photonic lattices
Schwartz, T., Bartal, G., Fishman, S., & Segev, M. (2007) · Nature · doi:10.1038/nature05623 · Cited by 1,600
Cited by
Heat transport in low-dimensional systems
Dhar, A. (2008) · Advances in Physics · doi:10.1080/00018730802538522 · Cited by 940
Anderson localization of light
Segev, M., Silberberg, Y., & Christodoulides, D. N. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.30 · Cited by 813
Universal Spreading of Wave Packets in Disordered Nonlinear Systems
Flach, S., Krimer, D. O., & Skokos, C. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.024101 · Cited by 317
Realization of discrete quantum billiards in a two-dimensional optical lattice
Krimer, D. O., & Khomeriki, R. (2011) · Physical Review A · doi:10.1103/physreva.84.041807 · Cited by 35
Metadata
- Authors
- Pikovsky, A. S., & Shepelyansky, D. L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-03-04
- Volume
- 100
- Issue
- 9
- Pages
- 094101-094101
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2040358363
- Cited by
- 419
- References
- 2
- FWCI
- 28.81
- Type
- journal article
- Language
- en
- Open access
- green
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