Gao, Shan (2025) Comment on "Aharonov-Bohm Phase is Locally Generated Like All Other Quantum Phases". [Preprint]

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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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Item Type:	Preprint
Creators:	Creators Email ORCID Gao, Shan sgao7319@uni.sydney.edu.au
Keywords:	Aharonov-Bohm effect; quantum electrodynamics; entanglement; field-based energy; vector potential; gauge-dependence for non-closed paths
Subjects:	Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Prof. Shan Gao
Date Deposited:	30 Jun 2025 13:28
Last Modified:	30 Jun 2025 13:28
Item ID:	25850
Subjects:	Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Date:	29 June 2025
URI:	https://philsci-archive.pitt.edu/id/eprint/25850

Available Versions of this Item

• Comment on "Aharonov-Bohm Phase is Locally Generated Like All Other Quantum Phases". (deposited 24 Apr 2025 12:54)
  • Comment on "Aharonov-Bohm Phase is Locally Generated Like All Other Quantum Phases". (deposited 30 Jun 2025 13:28) [Currently Displayed]
    • Comment on "Aharonov-Bohm Phase is Locally Generated Like All Other Quantum Phases". (deposited 28 Aug 2025 13:18)

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