English

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

Quantum Physics 2015-06-15 v3 Atomic Physics

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.

Keywords

Cite

@article{arxiv.1304.1741,
  title  = {Quantification of linear entropy for quantum entanglement in He, H- and Ps- ions using highly-correlated Hylleraas functions},
  author = {Chien-Hao Lin and Yen-Chang Lin and Yew Kam Ho},
  journal= {arXiv preprint arXiv:1304.1741},
  year   = {2015}
}

Comments

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