Spontaneous Fluxon Production in Annular Josephson Tunnel Junctions in the Presence of a Magnetic Field
R. Monaco, M. Aaroe, J. Mygind, R.J. Rivers, V.P. Koshelets

TL;DR
This paper investigates how magnetic fields influence spontaneous fluxon creation in annular Josephson junctions during thermal quenches, aligning experimental results with the Kibble-Zurek defect formation theory.
Contribution
It demonstrates the dependence of fluxon trapping probability on magnetic field strength and sample size, providing experimental validation of the Kibble-Zurek mechanism in this context.
Findings
Fluxon trapping probability varies with magnetic field intensity.
Sample circumference significantly affects defect formation.
Results support the causal bounds predicted by the Kibble-Zurek theory.
Abstract
We report on the spontaneous production of fluxons in the presence of a symmetry-breaking magnetic field for annular Josephson tunnel junctions during a thermal quench. The dependence on field intensity of the probability to trap a single defect during the N-S phase transition drastically depends on the sample circumferences. We show that the data can be understood in the framework of the Kibble-Zurek picture of spontaneous defect formation controlled by causal bounds.
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