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

Atoms

Chien-Hao Lin¹  Yew Kam Ho² 

[1] Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan; E-Mail

关键词: quantum entanglement;    von Neumann entropy;    linear entropy;    Shannon information entropy;    position space;    positronium negative ion;    Hylleraas functions;    Schmidt-Slater decomposition method;   

DOI  :  10.3390/atoms3030422

来源: mdpi

【 摘 要 】

In the present work, we report an investigation on quantum entanglement in the doubly excitedresonance 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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.