Hydrogenic entanglement
arXiv:2002.10383 · doi:10.1088/1367-2630/aba30f
Abstract
Is there any entanglement in the simplest ubiquitous bound system? We study the solutions to the time-independent Schrödinger 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.
arXiv comment17 pages + 27 pages of supplemental material and detailed derivations, 2 figures
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