Time-symmetry and topology of the Aharonov-Bohm effect
arXiv:2303.00701 · doi:10.1088/1751-8121/ad0589
Abstract
The Aharonov-Bohm (AB) effect has been highly influential in fundamental and applied physics. Its topological nature commonly implies that an electron encircling a magnetic flux source in a field-free region must close the loop in order to generate an observable effect. In this Letter, we study a variant of the AB effect that apparently challenges this concept. The significance of weak values and nonlocal equations of motion is discussed as part of the analysis, shedding light on and connecting all these fundamental concepts.
7 pages, 2 figures, comments are welcome
References in corpus (21)
- Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
- Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
- Weak Value Amplification Can Outperform Conventional Measurement in the Presence of Detector Saturation
- Experimental Proof of Nonlocal Wavefunction Collapse for a Single Particle Using Homodyne Measurement
- Nonlocality of a single particle
- Optimal Probe Wavefunction of Weak-Value Amplification
- Strange Weak Values
- Weak-value amplification as an optimal metrological protocol
- Picoradian deflection measurement with an interferometric quasi-autocollimator using weak value amplification
- Measurement and Collapse within the Two-State-Vector Formalism
- The arrow of time in operational formulations of quantum theory
- The Effect of a Magnetic Flux Line in Quantum Theory
- Quantum Oblivion: A Master Key for Many Quantum Riddles
- Geometric phases and the Sagnac effect: Foundational aspects and sensing applications
- Inelastic Mach-Zehnder Interferometry with Free Electrons
- Reply to "Comment on `Past of a quantum particle revisited' "
- A Scanning 2-Grating Free Electron Mach-Zehnder Interferometer
- Past of a particle in an entangled state
- Coherence and realism in the Aharonov-Bohm effect
- Amplification of rotation velocity using weak measurements in Sagnac's interferometer
- Realism and single-quanta nonlocality