Quantum Measurement and the Aharonov-Bohm Effect with Superposed Magnetic Fluxes
arXiv:1103.1607 · doi:10.1007/s11128-013-0652-3
Abstract
We consider the magnetic flux in a quantum mechanical superposition of two values and find that the Aharonov-Bohm effect interference pattern contains information about the nature of the superposition, allowing information about the state of the flux to be extracted without disturbance. The information is obtained without transfer of energy or momentum and by accumulated nonlocal interactions of the vector potential with many charged particles forming the interference pattern, rather than with a single particle. We suggest an experimental test using already experimentally realized superposed currents in a superconducting ring and discuss broader implications.
6 pages, 4 figures; Changes from version 3: corrected typo (not present in versions 1 and 2) in Eq. 8; Changes from version 2: shortened abstract; added refs and material in Section IV. The final publication is available at: http://link.springer.com/article/10.1007/s11128-013-0652-3
References in corpus (7)
- Research on Hidden Variable Theories: a review of recent progresses
- Decoherence of Flux Qubits Coupled to Electronic Circuits
- Correlations in interfering electrons irradiated by nonclassical microwaves
- Entanglement of distant electron interference experiments
- Entangled quantum currents in distant mesoscopic Josephson junctions
- Entanglement of topological phase factors
- Electron interference in mesoscopic devices in the presence of nonclassical electromagnetic fields