Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A continuum of bright and dark pulse states in a photonic-crystal
  resonator   Nonlinearity is a powerful determinant of physical systems. Controlling
nonlinearity leads to interesting states of matter and new applications. In
optics, diverse families of continuous and discrete states arise from balance
of nonlinearity and group-velocity dispersion (GVD). Moreover, the dichotomy of
states with locally enhanced or diminished field intensity depends critically
on the relative sign of nonlinearity and either anomalous or normal GVD. Here,
we introduce a resonator with unconditionally normal GVD and a single defect
mode that supports both dark, reduced-intensity states and bright,
enhanced-intensity states. We access and explore this dark-to-bright pulse
continuum by phase-matching for soliton generation with a photonic-crystal
resonator, which mediates the competition of nonlinearity and normal GVD. These
stationary temporal states are coherent frequency combs, featuring highly
designable spectra and ultralow noise repetition-frequency and intensity
characteristics. The dark-to-bright continuum illuminates physical roles of
Kerr nonlinearity, GVD, and laser propagation in a gapped nanophotonic medium.

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The categories of this paper are: nucl-th
2
The categories of this paper are: math
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio