Abstract
We study the unitary time evolution of the entropy of entanglement of a one-dimensionalsystem between the degrees of freedom in an interval of length and its complement, starting from a pure state which is not an eigenstate of theHamiltonian. We use path integral methods of quantum field theory as well as explicitcomputations for the transverse Ising spin chain. In both cases, there is a maximum speedv of propagation of signals. In general the entanglement entropy increases linearly with timet up to , after which it saturates at a value proportional to , the coefficient depending on the initial state. This behaviour may be understood as aconsequence of causality.
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