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Thermalization of entanglement

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

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Abstract: We explore the dynamics of the entanglement entropy near equilibrium in highly entangled pure states of two quantum-chaotic spin chains undergoing unitary time evolution. We examine the relaxation to equilibrium from initial states with either less or more entanglement entropy than the equilibrium value, as well as the dynamics of the spontaneous fluctuations of the entanglement that occur in equilibrium. For the spin chain with a time-independent Hamiltonian and thus an extensive conserved energy, we find slow relaxation of the entanglement entropy near equilibration. Such slow relaxation is absent in a Floquet spin chain with a Hamiltonian that is periodic in time and thus has no local conservation law. Therefore, we argue that slow diffusive energy transport is responsible for the slow relaxation of the entanglement entropy in the Hamiltonian system.
Publication Date: Jun-2015
Electronic Publication Date: 19-Jun-2015
Citation: Zhang, Liangsheng, Kim, Hyungwon, Huse, David A. (2015). Thermalization of entanglement. Physical Review E, 91 (6), 10.1103/PhysRevE.91.062128
DOI: doi:10.1103/PhysRevE.91.062128
ISSN: 1539-3755
EISSN: 1550-2376
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review E
Version: Author's manuscript

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