| Autor: |
Bendix, Oliver, Fleischmann, Ragnar, Kottos, Tsampikos, Shapiro, Boris |
| Rok vydání: |
2009 |
| Předmět: |
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| Zdroj: |
Phys.Rev.Lett.103:030402,2009 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevLett.103.030402 |
| Popis: |
We study the effect of localized modes in lattices of size N with parity-time (PT) symmetry. Such modes are arranged in pairs of quasi-degenerate levels with splitting delta exp{-N/xi}, where \xi is their localization length. The level "evolution" with respect to the PT breaking parameter gamma shows a cascade of bifurcations during which a pair of real levels becomes complex. The spontaneous PT symmetry breaking occurs at gamma min(delta), thus resulting in an exponentially narrow exact PT phase. As N/xi decreases, it becomes more robust with gamma (1/N)^2 and the distribution P(gamma) changes from log-normal to semi-Gaussian. Our theory can be tested in the frame of optical lattices. |
| Databáze: |
arXiv |
| Externí odkaz: |
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