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Quantification of Entanglement Entropies for Doubly Excited States in Helium

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Abstract

In this work, we study the quantum entanglement for doubly excited resonance states in helium by using highly correlated Hylleraas type functions to represent such states of the two-electron system. The doubly-excited resonance states are determined by calculation of density of resonance states under the framework of the stabilization method. The spatial (electron–electron orbital) entanglement measures for the low-lying doubly excited 2s 2, 2s3s, and 2p 2 1 S e states are carried out. Once a resonance state wave function is obtained, the linear entropy and von Neumann entropy for such a state are quantified using the Schmidt-Slater decomposition method. To check the consistence, linear entropy is also determined by solving analytically the needed four-electron (12-dimensional) integrals.

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Authors and Affiliations

  1. 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 Chien-Hao Lin.

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Lin, CH., Ho, Y.K. Quantification of Entanglement Entropies for Doubly Excited States in Helium. Few-Body Syst 56, 157–163 (2015). https://doi.org/10.1007/s00601-015-0972-1

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