Quantum Wave-Particle Duality in Free-Electron--Free-Electron Entanglement

• URL: http://arxiv.org/abs/2608.16292v2
• Date: Tue, 18 Aug 2026 06:46:41 GMT
• Title: Quantum Wave-Particle Duality in Free-Electron--Free-Electron Entanglement
• Abstract summary: A two-electron wave-packet theory identifies the longitudinal QEW size as a control parameter for entanglement generated by electromagnetic coupling.<n>Full time-dependent Schrdinger equation calculations confirm the scaling for narrow QEWs.<n>The results establish a direct connection between free-electron wave-particle duality and bipartite entanglement.
• Score: 7.5989078557385845
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Point-particle descriptions of electron-electron interaction omit the coherent longitudinal extent of a free-electron quantum wave packet (QEW). A relativistic two-electron wave-packet theory identifies the longitudinal QEW size as a direct control parameter for entanglement generated by mutual electromagnetic coupling. For two electrons in spatially separated paths, the quadratic interaction phase gives a dimensionless entangling parameter $\Gee$ and the logarithmic negativity $\EN=\operatorname{arsinh}(\Gee)/\ln2$. Full time-dependent Schrödinger equation calculations confirm the scaling for narrow QEWs and reveal higher-order Coulomb effects at larger spatial extent. Free drift increases the interaction-point QEW width while preserving the momentum probability distribution, thereby enhancing the subsequently generated entanglement. The results establish a direct connection between free-electron wave-particle duality and bipartite entanglement.

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