Evolution of entanglement entropy in one-dimensional systems
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Publication:4968843
DOI10.1088/1742-5468/2005/04/P04010zbMATH Open1456.82578arXivcond-mat/0503393OpenAlexW3101916665MaRDI QIDQ4968843
Author name not available (Why is that?)
Publication date: 9 July 2019
Published in: (Search for Journal in Brave)
Abstract: We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length l and its complement, starting from a pure state which is not an eigenstate of the hamiltonian. We use path integral methods of quantum field theory as well as explicit computations for the transverse Ising spin chain. In both cases, there is a maximum speed v of propagation of signals. In general the entanglement entropy increases linearly with time up to t=l/2v, after which it saturates at a value proportional to l, the coefficient depending on the initial state. This behavior may be understood as a consequence of causality.
Full work available at URL: https://arxiv.org/abs/cond-mat/0503393
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