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arXiv:1304.1741 · Few-Body Systems

Quantification of Linear Entropy for Quantum Entanglement in He, H− and Ps− Ions Using Highly-Correlated Hylleraas Functions

Chien-Hao Lin, Yen-Chang Lin, Yew Kam Ho

Published Aug 8, 2013• 35 citations
arXivHTMLPDF
DOI
10.1007/s00601-013-0729-7

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In this work, we study the quantum entanglement for doubly excited resonance states in two-electron atomic systems such as the H - and Ps - ions and the He atom by using highly correlated Hylleraas type functions The resonance states are determined by calculation of density of resonance states with the stabilization method. The spatial (electron-electron orbital) entanglement entropies (linear and von Neumann) for the low-lying doubly excited states are quantified using the Schmidt-Slater decomposition method.
In the present work, we report an investigation on quantum entanglement in the doubly excited 2s2 1Se resonance state of the positronium negative ion by using highly correlated Hylleraas type wave functions, determined by calculation of the density of resonance states with the stabilization method. Once the resonance wave function is obtained, the spatial (electron-electron orbital) entanglement entropies (von Neumann and linear) can be quantified using the Schmidt decomposition method. Furthermore, Shannon entropy in position space, a measure for localization (or delocalization) for such a doubly excited state, is also calculated.