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arXiv · 1911.05339

Single-particle Entanglement of the Entanglement Hamiltonian Eigen-modes

Mohammad Pouranvari
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Abstract

Single-particle entanglement entropy (SPEE) is calculated for entanglement Hamiltonian eigen-mode in a one-dimensional free fermion model that undergoes a delocalized-localized phase transition. In this numerical study, we show that SPEE of entanglement Hamiltonian eigen-mode has the same behavior as EPEE of Hamiltonian eigen-mode at the Fermi level: as we go from delocalized phase toward localized phase, SPEE of both modes decreases in the same manner. Furthermore, fluctuations of SPEE of entanglement Hamiltonian eigen-mode -- which can be obtained through the calculation of moments of SPEE -- signature very sharply the phase transition point. These two modes are also compared by calculation of single particle Réyni entropy (SPRE). We show that SPEE and SPRE of entanglement Hamiltonian eigen-mode can be used as a phase detection parameter.

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Mohammad Pouranvari. 2019-11-13. Single-particle Entanglement of the Entanglement Hamiltonian Eigen-modes. https://doi.org/10.1142/s0217732318500852

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