Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical phases for the evolution of the entanglement between two
  oscillators coupled to the same environment   We study the dynamics of the entanglement between two oscillators that are
initially prepared in a general two-mode Gaussian state and evolve while
coupled to the same environment. In a previous paper we showed that there are
three qualitatively different dynamical phases for the entanglement in the long
time limit: sudden death, sudden death and revival and no-sudden death [Paz &
Roncaglia, Phys. Rev. Lett. 100, 220401 (2008)]. Here we generalize and extend
those results along several directions: We analyze the fate of entanglement for
an environment with a general spectral density providing a complete
characterization of the corresponding phase diagrams for ohmic and sub--ohmic
environments (we also analyze the super-ohmic case showing that for such
environment the expected behavior is rather different). We also generalize
previous studies by considering two different models for the interaction
between the system and the environment (first we analyze the case when the
coupling is through position and then we examine the case where the coupling is
symmetric in position and momentum). Finally, we analyze (both numerically and
analytically) the case of non-resonant oscillators. In that case we show that
the final entanglement is independent of the initial state and may be non-zero
at very low temperatures. We provide a natural interpretation of our results in
terms of a simple quantum optics model.

19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int