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Quantification of Entanglement Entropy in Helium by the Schmidt–Slater Decomposition Method

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Abstract

In this work, we present an investigation on the spatial entanglement entropies in the helium atom by using highly correlated Hylleraas functions to represent the S-wave states. Singlet-spin 1sns 1 S e states (with n = 1 to 6) and triplet-spin 1sns 3 S e states (with n = 2 to 6) are investigated. As a measure on the spatial entanglement, von Neumann entropy and linear entropy are calculated. Furthermore, we apply the Schmidt–Slater decomposition method on the two-electron wave functions, and obtain eigenvalues of the one-particle reduced density matrix, from which the linear entropy and von Neumann entropy can be determined.

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Authors and Affiliations

  1. Department of Physics, National Taiwan University, Taipei, Taiwan

    Chien-Hao Lin

  2. Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei, Taiwan

    Chien-Hao Lin & Yew Kam Ho

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  1. Chien-Hao Lin
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  2. Yew Kam Ho
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Correspondence to Yew Kam Ho.

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Lin, CH., Ho, Y.K. Quantification of Entanglement Entropy in Helium by the Schmidt–Slater Decomposition Method. Few-Body Syst 55, 1141–1149 (2014). https://doi.org/10.1007/s00601-014-0900-9

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  • DOI: https://doi.org/10.1007/s00601-014-0900-9

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