Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Survival Probability of the N\'eel State in Clean and Disordered
  Systems: an Overview   In this work we provide an overview of our recent results about the quench
dynamics of one-dimensional many-body quantum systems described by spin-1/2
models. To illustrate those general results, here we employ a particular and
experimentally accessible initial state, namely the N\'eel state. Both cases
are considered: clean chains without any disorder and disordered systems with
static random on-site magnetic fields. The quantity used for the analysis is
the probability for finding the initial state later in time, the so-called
survival probability. At short times, the survival probability may decay faster
than exponentially, Gaussian behaviors and even the limit established by the
energy-time uncertainty relation are displayed. The dynamics at long times
slows down significantly and shows a powerlaw behavior. For both scenarios, we
provide analytical expressions that agree very well with our numerical results.

22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int