Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From GPE to KPZ: finite temperature dynamical structure factor of the 1D
  Bose gas   We study the finite temperature dynamical structure factor $S(k,\omega)$ of a
1D Bose gas using numerical simulations of the Gross--Pitaevskii equation
appropriate to a weakly interacting system. The lineshape of the phonon peaks
in $S(k,\omega)$ has a width $\propto |k|^{3/2}$ at low wavevectors. This
anomalous width arises from resonant three-phonon interactions, and reveals a
remarkable connection to the Kardar--Parisi--Zhang universality class of
dynamical critical phenomena.

17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol