Coulomb interactions can cause a rapid change in the phase of the wavefunction along a very narrow superconducting system. Such a phase slip at the quantum level is now measured in a chain of Josephson junctions.
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Haviland, D. Quantum phase slips. Nature Phys 6, 565–566 (2010). https://doi.org/10.1038/nphys1747
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DOI: https://doi.org/10.1038/nphys1747
