Non-Hermitian Fabry-Perot Resonances in a PT-symmetric system
| Autor: | Shobe, Ken, Kuramoto, Keiichi, Imura, Ken-Ichiro, Hatano, Naomichi |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Phys. Rev. Research 3, 013223 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevResearch.3.013223 |
| Popis: | In non-Hermitian scattering problems the behavior of the transmission probability is very different from its Hermitian counterpart; it can exceed unity or even be divergent, since the non-Hermiticity can add or remove the probability to and from the scattering system. In the present paper, we consider the scattering problem of a PT-symmetric potential and find a counter-intuitive behavior. In the usual PT-symmetric non-Hermitian system, we would typically find stationary semi-Hermitian dynamics in a regime of weak non-Hermiticity but observe instability once the non-Hermiticity goes beyond an exceptional point. Here, in contrast, the behavior of the transmission probability is strongly non-Hermitian in the regime of weak non-Hermiticity with divergent peaks, while it is superficially Hermitian in the regime of strong non-Hermiticity, recovering the conventional Fabry-Perot-type peak structure. We show that the unitarity of the S-matrix is generally broken in both of the regimes, but is recovered in the limit of infinitely strong non-Hermiticity. Comment: 15 pages, 8 figures (15 panels). Supplementary material is available at http://hatano-lab.iis.u-tokyo.ac.jp/hatano/FPR2020/ |
| Databáze: | arXiv |
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