Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collective scattering in hybrid nanostructures with many atomic
  oscillators coupled to an electromagnetic resonance   There is considerable interest in collective effects in hybrid systems formed
by molecular or atomic ensembles strongly coupled by an electromagnetic
resonance. For analyzing such collective effects, we develop an efficient and
general theoretical formalism based on the natural modes of the resonator. The
main strength of our approach is its generality and the high level of
analyticity enabled by modal analysis, which allows one to model complex hybrid
systems without any restriction on the resonator shapes or material properties,
and to perform statistical computations to predict general properties that are
robust to spatial and polarization disorders. Most notably, we establish that
superradiant modes remain even after ensemble averaging and act as an
invisibility cloak with a spectral bandwidth that scales with the number of
oscillators and the spatially-averaged Purcell factor.

5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin