Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multipartite entanglement dynamics in a cavity   We study the dynamics of two kinds of entanglement, and there interplay. On
one hand, the intrinsic entanglement within a central system composed by three
two level atoms, and measured by multipartite concurrence, on the other, the
entanglement between the central system and a cavity, acting as an environment,
and measured with purity. Using dipole-dipole and Ising interactions between
atoms we propose two Hamiltonians, a homogeneous and a quasi-homogeneous one.
We find an upper bound for concurrence as a function of purity, associated to
the evolution of the $W$ state. A lower bound is also observed for the
homogeneous case. In both situations, we show the existence of critical values
of the interaction, for which the dynamics of entanglement seem complex.

8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom