Comment on "Aharonov-Bohm Phase is Locally Generated Like All Other Quantum Phases"

• URL: http://arxiv.org/abs/2601.17665v1
• Date: Sun, 25 Jan 2026 02:54:12 GMT
• Title: Comment on "Aharonov-Bohm Phase is Locally Generated Like All Other Quantum Phases"
• Authors: Shan Gao,
• Abstract summary: Aharonov-Bohm (AB) phase is locally mediated by entanglement between a charged particle and a quantized electromagnetic field.<n>We show that the AB phase arises from the interaction with the vector potential (mathbfA) not from entanglement.<n>Our analysis reaffirms the conventional explanation in the semi-classical picture, where the AB phase is driven by the vector potential (mathbfA) with entanglement playing no causal role in its generation.
• Score: 7.94562320583783
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Marletto and Vedral [Phys. Rev. Lett. 125, 040401 (2020)] propose that the Aharonov-Bohm (AB) phase is locally mediated by entanglement between a charged particle and the quantized electromagnetic field, asserting gauge independence for non-closed paths. In this Comment, we critically analyze their model and demonstrate that the AB phase arises from the interaction with the vector potential \(\mathbf{A}\), not from entanglement, which is a byproduct of the quantum electrodynamics (QED) framework. We show that their field-based energy formulation, intended to reflect local electromagnetic interactions, is mathematically flawed due to an incorrect prefactor and yields \( +q \mathbf{v} \cdot \mathbf{A}_{\mathbf{s}} \) in the Coulomb gauge, conflicting with QED's \( -q \mathbf{v} \cdot \mathbf{A}_{\mathbf{s}} \). This equivalence to \( q \mathbf{v} \cdot \mathbf{A}_{\mathbf{s}} \) holds only approximately in the Coulomb gauge under static conditions, failing for time-dependent fields and other gauges, undermining their claim of a gauge-independent local mechanism. Furthermore, we confirm that the AB phase is gauge-dependent for non-closed paths, contradicting their assertion. Our analysis reaffirms the conventional explanation in the semi-classical picture, where the AB phase is driven by the vector potential \(\mathbf{A}\), with entanglement playing no causal role in its generation.

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