Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-markovian mesoscopic dissipative dynamics of open quantum spin
  chains   We study the dissipative dynamics of $N$ quantum spins with Lindblad
generator consisting of operators scaling as fluctuations, namely with the
inverse square-root of $N$. In the large $N$ limit, the microscopic dissipative
time-evolution converges to a non-Markovian unitary dynamics on strictly local
operators, while at the mesoscopic level of fluctuations it gives rise to a
dissipative non-Markovian dynamics. The mesoscopic time-evolution is Gaussian
and exhibits either a stable or an unstable asymptotic character; furthermore,
the mesoscopic dynamics builds correlations among fluctuations that survive in
time even when the original microscopic dynamics is unable to correlate local
observables.

5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph