Quantification of linear entropy for quantum entanglement in He, H- and Ps- ions using highly-correlated Hylleraas functions

Abstract

The quantum entanglement for the two electrons in three-body atomic systems such as the helium atom, the hydrogen negative ion and the positronium negative ion are investigated by employing highly correlated Hylleraas functions to represent the ground states of such systems. As a measure of the spatial entanglement, the linear entropy of the reduced density matrix is calculated for the ground states. The required four-electron (12-dimensional) integrals are solved analytically such that they are suitable for machine computations. Results are compared with other calculations when available.

12 pages, 2 figures, Few-Body Systems, final version

References in corpus (4)

• Essential entanglement for atomic and molecular physics
• Entanglement in helium
• Complete Entanglement Witness for Quantum Teleportation
• Impurity Effects in Two-Electron Coupled Quantum Dots: Entanglement Modulation

Cited by in corpus (9)

• Shannon Information Entropy in Position Space for Two-Electron Atomic Systems
• Entanglement in N-harmonium: bosons and fermions
• Entanglement entropies in the ground states of helium-like atoms
• Quantum entanglement for two electrons in the excited states of helium-like systems
• Two-orbital quantum discord in fermion systems
• Quantification of entanglement entropy in helium by the Schmidt-Slater decomposition method
• Quantification of Entanglement Entropies for Doubly Excited States in Helium
• Critical points of the linear entropy for pure L-qubit states
• Bipartite correlations in quantum resonance states