Temporal double-slit interferences of a quantum fluxon in quantum Josephson nanocircuits

We investigate temporal Young's double-slit interferences of a quantum fluxon in quantum Josephson nanocircuits, in order to explore the nonlocality of time at macroscopic scales. We employ Gaussian wave-packet approaches to describe the time evolution of the quantum fluxon. We obtained an analytic formula for the probability density of finding the quantum fluxon at a detector's position as a function of time, and found interference fringes in the time domain. This shows nonlocal nature of time at macroscopic scales and also provides potential applications for a new type of building blocks of quantum information in solid state devices.