  Recently it was shown that the growth of entanglement in an initially
separable state, as measured by the purity of subsystems, can be characterized
by a timescale that takes a universal form for any Hamiltonian. We show that
the same timescale governs the growth of entanglement for all R\'enyi
entropies. Since the family of R\'enyi entropies completely characterizes the
entanglement of a pure bipartite state, our timescale is a universal feature of
bipartite entanglement. The timescale depends only on the interaction
Hamiltonian and the initial state.

Quantum Physics;High Energy Physics - Theory