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Ballistic Spreading of Entanglement in a Diffusive Nonintegrable System

Author(s): Kim, Hyungwon; Huse, David A

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Abstract: We study the time evolution of the entanglement entropy of a one-dimensional nonintegrable spin chain, starting from random nonentangled initial pure states. We use exact diagonalization of a nonintegrable quantum Ising chain with transverse and longitudinal fields to obtain the exact quantum dynamics. We show that the entanglement entropy increases linearly with time before finite-size saturation begins, demonstrating a ballistic spreading of the entanglement, while the energy transport in the same system is diffusive. Thus, we explicitly demonstrate that the spreading of entanglement is much faster than the energy diffusion in this nonintegrable system.
Publication Date: Sep-2013
Electronic Publication Date: 20-Sep-2013
Citation: Kim, Hyungwon, Huse, David A. (2013). Ballistic Spreading of Entanglement in a Diffusive Nonintegrable System. Physical Review Letters, 111 (12), 10.1103/PhysRevLett.111.127205
DOI: doi:10.1103/PhysRevLett.111.127205
ISSN: 0031-9007
EISSN: 1079-7114
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review Letters
Version: Author's manuscript

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