| Issue |
EPL
Volume 100, Number 5, December 2012
|
|
|---|---|---|
| Article Number | 56006 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/100/56006 | |
| Published online | 13 December 2012 | |
Discrete solitons in 
-symmetric lattices
1 Centro de Física Teórica e Computacional and Departamento de Física, Faculdade de Ciências, Universidade de Lisboa - Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal, EU
2 Department of Mathematics and Statistics, McMaster University - Hamilton, Ontario, L8S 4K1, Canada
Received: 28 September 2012
Accepted: 22 November 2012
We prove the existence of discrete solitons in infinite parity-time (
) symmetric lattices by means of analytical continuation from the anticontinuum limit. The energy balance between dissipation and gain implies that in the anticontinuum limit the solitons are constructed from elementary -symmetric blocks such as dimers, quadrimers, or more general oligomers. We consider in detail a chain of coupled dimers, analyze bifurcations of discrete solitons from the anticontinuum limit and show that the solitons are stable in a sufficiently large region of the lattice parameters. The generalization of the approach is illustrated on two examples of networks of quadrimers, for which stable discrete solitons are also found.
PACS: 63.20.Pw – Localized modes / 05.45.Yv – Solitons / 42.65.Wi – Nonlinear waveguides
© EPLA, 2012
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