Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/25953
Title: | Designing lasing and perfectly absorbing potentials |
Author: | Lakshtanov, Evgeny Vainberg, Boris Konotop, Vladimir |
Issue Date: | 26-Apr-2019 |
Publisher: | American Physical Society |
Abstract: | Existence of a spectral singularity (SS) in the spectrum of a Schrödinger operator with a non-Hermitian potential requires exact matching of parameters of the potential. We provide a necessary and sufficient condition for a potential to have a SS at a given wavelength. It is shown that potentials with SSs at prescribed wavelengths can be obtained by a simple and effective procedure. In particular, the developed approach allows one to obtain potentials with several SSs and with SSs of the second order, as well as potentials obeying a given symmetry, say, PT -symmetric potentials. We illustrate all these opportunities with examples. We also describe splitting of a second-order SS under change of the potential parameters, and discuss possibilities of experimental observation of SSs of different orders. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/25953 |
DOI: | |
ISSN: | 2469-9926 |
Publisher Version: | https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.043838 |
Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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1812.05499.pdf | 327.14 kB | Adobe PDF | View/Open |
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