Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interaction of a propagating guided matter wave with a localized
  potential   We provide a theoretical framework to describe the interaction of a
propagating guided matter wave with a localized potential in terms of quantum
scattering in a confined environment. We analyze how this scattering correlates
the longitudinal and transverse degrees of freedom and work out analytically
the output state under the Born approximation using a Gaussian localized
potential. In this limit, it is possible to engineer the potential and achieve
coherent control of the output channels. The robustness of this approximation
is studied by comparing the stationary scattering theory to numerical
simulations involving incident wave packets. It remains valid in a domain of
weak localized potential that is achievable experimentally. We infer a possible
method to determine the longitudinal coherence length of a guided atom laser.
Then, we detail the non-perturbative regime of the interaction of the guided
matter wave with the localized potential using a coupled channel approach. This
approach is worked out explicitly with a square potential. It yields new
non-perturbative effects such as the occurrence of confinement-induced
resonances. The perspectives opened by this work for experiments are discussed.

25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int