  The dynamic of correlations in a system composed of a two-mode quantum field
coupled with the environment is studied. The quantum field corresponds to two
entangled coherent states whose amplitude we vary up to the mesoscopic regime.
We show that under the onset of decoherence, correlations in the quantum field
are not lost but transferred to the environment. We also found that sudden
transitions in the decoherence regimes appear along with the dynamics depending
on the coherent states' amplitude. Increasing the amplitude of the entangled
coherence state results in the apparition of a metastable decoherence-free
subspace (DFS) in the field subsystem, and the transference of classical
correlations freezes. This subspace only exists during a time interval that
depends on the average number of photons. Interestingly, the reservoir
subsystem also experiences the apparition of a DFS. Only quantum correlations
are transferred while the DFS exists.
