Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Momentum relaxation of a mobile impurity in a one-dimensional quantum
  gas   We investigate the time evolution of the momentum of an impurity atom
injected into a degenerate Tonks-Girardeau gas. We establish that given an
initial momentum $p_0$ the impurity relaxes to a steady state with a
non-vanishing momentum $p_\infty.$ The nature of the steady state is found to
depend drastically on whether the masses of the impurity and the host are equal
or not. This is due to multiple coherent scattering processes leading to a
resonant interaction between the impurity and the host in the case of equal
masses. The dependence of $p_\infty$ on $p_0$ remains non-trivial even in the
limit of vanishing interaction between the impurity and host particles. In this
limit $p_\infty(p_0)$ is found explicitly.

8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn