Title: Long-lived mesoscopic entanglement between two damped infinite harmonic chains,
Abstract: We consider two chains, each made of $N$ independent oscillators, immersed in
a common thermal bath and study the dynamics of their mutual quantum
correlations in the thermodynamic, large-$N$ limit. We show that dissipation
and noise due to the presence of the external environment are able to generate
collective quantum correlations between the two chains at the mesoscopic level.
The created collective quantum entanglement between the two many-body systems
turns out to be rather robust, surviving for asymptotically long times even for
non vanishing bath temperatures.