Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relaxation dynamics of local observables in integrable systems   We show, using the quench action approach [Caux&Essler Phys. Rev. Lett. 110
(2013)], that the whole post-quench time evolution of an integrable system in
the thermodynamic limit can be computed with a minimal set of data which are
encoded in what we denote the generalized single-particle overlap coefficient
$s_0^{\Psi_0}(\lambda)$. This function can be extracted from the
thermodynamically leading part of the overlaps between the eigenstates of the
model and the initial state. For a generic global quench the shape of
$s_0^{\Psi_0}(\lambda)$ in the low momentum limit directly gives the exponent
for the power law decay to the effective steady state. As an example we compute
the time evolution of the static density-density correlation in the interacting
Lieb-Liniger gas after a quench from a Bose-Einstein condensate. This shows an
approach to equilibrium with power law $t^{-3}$ which turns out to be
independent of the post-quench interaction and of the considered observable.

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The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph