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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
ISSN: 2469-9926
Publisher Version:
Appears in Collections:CIDMA - Artigos
OGTCG - Artigos

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