Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interplay between Fano resonance and $\mathcal{PT} $ symmetry in
  non-Hermitian discrete systems   We study the effect of PT-symmetric complex potentials on the transport
properties of non-Hermitian systems, which consist of an infinite linear chain
and two side-coupled defect points with PT-symmetric complex on-site
potentials. By analytically solving the scattering problem of two typical
models, which display standard Fano resonances in the absence of non-Hermitian
terms, we find that the PT-symmetric imaginary potentials can lead to some
pronounced effects on transport properties of our systems, including changes
from the perfect reflection to perfect transmission, and rich behaviors for the
absence or existence of the prefect reflection at one and two resonant
frequencies. Our study can help us to understand the interplay between the Fano
resonance and PT symmetry in non-Hermitian discrete systems, which may be
realizable in optical waveguide experiments.

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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci