Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resonant Matter Wave Amplification in Mean Field Theory   We develop a Green's function based mean-field theory for coherent mixing of
matter- and light-waves. To demonstrate the utility of this approach, we
analyse a co-propagating Raman matter-wave amplifier. We find that for a given
laser intensity, a significantly faster amplification process can be achieved
employing resonant rather than off-resonance driving. The ratio of the
matter-wave gain to atom loss-rate due to spontaneous emission is given by the
optical depth of the sample, and is the same both on- and off-resonance.
Furthermore, we show that for short-times, the single-mode approximation for
the matter-waves gives exact agreement with the full spatial dynamics. For long
times, the off-resonant case shows suppressed amplification due to a spatially
inhomogenous AC Stark shift associated with laser depletion. This suppression
is absent on-resonance, where the AC Stark shift is absent.

35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat