Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of an impurity in a one-dimensional lattice   We study the non-equilibrium dynamics of an impurity in an harmonic trap that
is kicked with a well-defined quasi-momentum, and interacts with a bath of free
fermions or interacting bosons in a 1D lattice configuration. Using numerical
and analytical techniques we investigate the full dynamics beyond linear
response, which allows us to quantitatively characterise states of the impurity
in the bath for different parameter regimes. These vary from a tightly bound
molecular state in a strongly interacting limit to a polaron (dressed impurity)
and a free particle for weak interactions, with composite behaviour in the
intermediate regime. These dynamics and different parameter regimes should be
readily realizable in systems of cold atoms in optical lattices.

36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th