  When two chains of quantum systems are driven at their ends by a two-mode
squeezed reservoir, they approach a steady state characterized by the formation
of many entangled pairs. Each pair is made of one element of the first and one
of the second chain. This effect has been already predicted under the
assumption of broadband squeezing. Here we investigate the situation of
finite-bandwidth reservoirs. This is done by modeling the driving bath as the
output field of a non-degenerate parametric oscillator. The resulting
non-Markovian dynamics is studied within the theoretical framework of cascade
open quantum systems. It is shown that the formation of pair-entangled
structures occurs as long as the normal-mode splitting of the arrays does not
overcome the squeezing bandwidth of the reservoir.
