Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superconducting Josephson-based metamaterials for quantum-limited
  parametric amplification: a review   In the last few years, several groups have proposed and developed their own
platforms demonstrating quantum-limited linear parametric amplification, with
evident applications in quantum information and computation, electrical and
optical metrology, radio astronomy and basic physics concerning axion
detection. Here we propose a short review on the physics behind parametric
amplification via metamaterials composed by coplanar wave-guides embedding
several Josephson junctions. We present and compare different schemes that
exploit the nonlinearity of the Josephson current-phase relation to mix the
so-called signal, idler and pump tones. The chapter then presents and compares
three different theoretical models, developed in the last few years, to predict
the dynamics of these nonlinear systems in the particular case of a 4-Wave
Mixing process and under the degenerate undepleted pump assumption. We will
demonstrate that, under the same assumption, all the results are comparable in
terms of amplification of the output fields.

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The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th