Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spontaneous four-wave mixing in lossy microring resonators   We develop a general Hamiltonian treatement of spontaneous four-wave mixing
in a microring resonator side-coupled to a channel waveguide. The effect of
scattering losses in the ring is included, as well as parasitic nonlinear
effects including self- and cross-phase modulation. A procedure for computing
the output of such a system for arbitrary parameters and pump states is
presented. For the limit of weak pumping an expression for the joint spectral
intensity of generated photon pairs, as well as the singles-to-coincidences
ratio, is derived.

28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn