| Autor: |
Borisov, D. I., Zezyulin, D. A. |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
J. Phys. A: Math. Theor. 52, 445202 (2019) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1088/1751-8121/ab40ec |
| Popis: |
We consider a parity-time ($\mathcal{PT}$-) symmetric waveguide consisting of a localized gain and loss elements separated by a variable distance. The situation is modelled by a Schr\"odiner operator with localized complex $\mathcal{PT}$-symmetric potential. Properties of the latter Hamiltonian are considered subject to the change of the gain-to-loss distance. Resonances, spectral singularities and eigenvalues are analyzed in detail and discussed in the context of the associated laser-absorber modes and $\mathcal{PT}$-symmetry breaking phase transition. Increasing gain-to-loss distance creates new resonances and spectral singularities which do not exist in the waveguide with adjacent gain and loss. In the limit of large gain-to-loss distance, the waveguide features a ladder of resonances which can be transformed to a ladder of complex eigenvalues by means of the change of the gain-and-loss amplitude. |
| Databáze: |
arXiv |
| Externí odkaz: |
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