Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Giant non-linearities accompanying electromagnetically induced
  transparency   We develop a fully quantum treatment of electromagnetically induced
transparency (EIT) in a vapor of three-level $\Lambda$-type atoms. Both the
probe and coupling lasers with arbitrary intensities are quantized, and treated
on the same footing. In addition to reproducing known results on ultraslow
pulse propagation at the lowest order in the ratio of their Rabi frequencies,
our treatment uncovers that the atomic medium with EIT exhibits giant Kerr as
well as higher order non-linearities. Enhancement of many orders of magnitude
is predicted for higher-order refractive-index coefficients.

37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an