Hydrogenic entanglement
Quantum Physics
2020-10-28 v4
Abstract
Is there any entanglement in the simplest ubiquitous bound system? We study the solutions to the time-independent Schr\"odinger equation for a Hydrogenic system and devise two entanglement tests for free and localised states. For free Hydrogenic systems, we compute the Schmidt basis diagonalisation for general energy eigenstates, and for a Hydrogenic system localised to a three-dimensional Gaussian wavepacket, we demonstrate that measuring its second moments is sufficient for detecting entanglement. Our results apply to any system that exhibits Hydrogenic structure.
Cite
@article{arxiv.2002.10383,
title = {Hydrogenic entanglement},
author = {Sofia Qvarfort and Sougato Bose and Alessio Serafini},
journal= {arXiv preprint arXiv:2002.10383},
year = {2020}
}
Comments
17 pages + 27 pages of supplemental material and detailed derivations, 2 figures