nt - p h / 04 10 10 3 v 1 13 O ct 2 00 4 Semiclassical limit of the entanglement in closed pure systems Renato

We discuss the semiclassical limit of the entanglement for the class of closed pure systems. By means of analytical and numerical calculations we obtain two main results: (i) the short-time entanglement does not depend on Planck’s constant and (ii) the long-time entanglement increases as more semiclassical regimes are attained. This result is in contrast with the common belief that the entanglement should be destroyed when the macroscopic limit is reached. We also found that, for Gaussian initial states, the entanglement dynamics may be described by an entirely classical entropy in the semiclassical limit.