Next Article in Journal
A Realization of a Quasi-Random Walk for Atoms in Time-Dependent Optical Potentials
Next Article in Special Issue
Natural and Unnatural Parity Resonance States in the Positron-Hydrogen System with Screened Coulomb Interactions
Previous Article in Journal
Extreme Ultraviolet Spectra of Few-Times Ionized Tungsten for Divertor Plasma Diagnostics
Article Menu

Export Article

Open AccessArticle
Atoms 2015, 3(3), 422-432; doi:10.3390/atoms3030422

Quantum Entanglement and Shannon Information Entropy for the Doubly Excited Resonance State in Positronium Negative Ion

Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan
*
Author to whom correspondence should be addressed.
Academic Editor: Chi Yu Hu
Received: 15 July 2015 / Revised: 7 September 2015 / Accepted: 10 September 2015 / Published: 21 September 2015
View Full-Text   |   Download PDF [389 KB, uploaded 21 September 2015]   |  

Abstract

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. View Full-Text
Keywords: quantum entanglement; von Neumann entropy; linear entropy; Shannon information entropy; position space; positronium negative ion; Hylleraas functions; Schmidt-Slater decomposition method quantum entanglement; von Neumann entropy; linear entropy; Shannon information entropy; position space; positronium negative ion; Hylleraas functions; Schmidt-Slater decomposition method
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Lin, C.-H.; Ho, Y.K. Quantum Entanglement and Shannon Information Entropy for the Doubly Excited Resonance State in Positronium Negative Ion. Atoms 2015, 3, 422-432.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Atoms EISSN 2218-2004 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top