Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Markovian Quantum Fluctuations and Superradiance Near a Photonic
  Band Edge   We discuss a point model for the collective emission of light from N
two-level atoms in a photonic bandgap material, each with an atomic resonant
frequency near the edge of the gap. In the limit of a low initial occupation of
the excited atomic state, our system is shown to possess novel atomic spectra
and population statistics. For a high initial excited state population, mean
field theory suggests a fractionalized inversion and a macroscopic polarization
for the atoms in the steady state, both of which can be controlled by an
external d.c. field. This atomic steady state is accompanied by a non--zero
expectation value of the electric field operators for field modes located in
the vicinity of the atoms. The nature of homogeneous broadening near the band
edge is shown to differ markedly from that in free space due to non-Markovian
memory effects in the radiation dynamics. Non-Markovian vacuum fluctuations are
shown to yield a partially coherent steady state polarization with a random
phase. In contrast with the steady state of a conventional laser, near a
photonic band edge this coherence occurs as a consequence of photon
localization in the absence of a conventional cavity mode. We also introduce a
classical stochastic function with the same temporal correlations as the
electromagnetic reservoir, in order to stochastically simulate the effects of
vacuum fluctuations near a photonic band edge.

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The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
37
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
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
6
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: comp-gas
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol