Quantification of entanglement entropy in helium by the Schmidt-Slater decomposition method

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 1Se states (with n = 1 to 6) and triplet-spin 1sns 3Se 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.

arXiv commentFinal version to be published in Few-Body Systems (accepted on May 2nd, 2014)

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Cited by in corpus (5)

• Shannon Information Entropy in Position Space for Two-Electron Atomic Systems
• Quantum entanglement for two electrons in the excited states of helium-like systems
• Magnetic alteration of entanglement in two-electron quantum dots
• Quantification of Entanglement Entropies for Doubly Excited States in Helium
• Bipartite correlations in quantum resonance states