Detection of low-energy fluxons from engineered long Josephson junctions for efficient computing (2406.15671v2)

Abstract: Single-Flux Quantum (SFQ) digital logic is typically energy efficient and fast, and logic that uses ballistic and reversible principles provides a new platform to improve efficiency. We are studying long Josephson junctions (long JJs), SFQs within them, and an SFQ detector, all intended for future ballistic logic gate experiments. Specifically, we launch low-energy SFQ into engineered long JJs made from an array of 80 JJs and connecting inductors. The component JJs have critical currents of only 7.5 uA such that the Josephson penetration depth is approximately 2.4 unit cells, and the SFQ's stationary energy in the LJJ is ~47 zJ. The circuit measured consisted of three components: an SFQ launcher, the LJJ, and an SFQ detector that uses JJ critical currents of only 15-20 uA. The circuit was measured in two environments: at 4.2 K in a helium dunk probe and 3.5~K in a cryogen-free refrigerator. According to calculations, the SFQ may traverse the LJJ ballistically, i.e., with a small change in velocity. Data show that SFQ detection events are synchronous with SFQ launch events in both setups. The jitter extracted from the launch and arrival times is predominantly attributed to the noise in the detector. This study shows that we can create and detect low-energy SFQs made from engineered LJJs, and the importance of jitter studies for future ballistic gate measurements.