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Hydrogenic entanglement

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arxiv 2002.10383 v4 pith:EFUX6APL submitted 2020-02-24 quant-ph

Hydrogenic entanglement

Sofia Qvarfort , Sougato Bose , Alessio Serafini This is my paper
classification quant-ph
keywords hydrogenicentanglementsystemfreelocalisedapplybasisbound
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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.

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  1. Testing ER = EPR with Hydrogen

    quant-ph 2025-12 unverdicted novelty 5.0

    Field leakage into ER=EPR wormholes modifies hydrogen hyperfine splitting and may induce net charge, yielding constraints from existing precision data.