Fig. 12: Electric field distribution from the single-photon excitation on the SNAIL-terminated resonator.
From: Resolving Fock states near the Kerr-free point of a superconducting resonator
The black dot from the numerical simulation is the electric field E over the distance r, starting from bottom corner of the resonator towards the ground plane indicated by the red arrow in the inset. The data is fitted to a function of E = h/rd with h = 4.76 and d = 0.42 (red curve), where the fit indicates the polynomial decay law of the field strength51,58,59. Inset: the numerical simulation on the electric field by COMSOL. AlOx and SiOx denote the oxidized layers on the top of resonator and the silicon substrate, respectively. In the simulation, for the oxidized layer, the maximum (minimum) mesh size is 0.02 (0.015) nm. For the Aluminum electrode, the maximum mesh size is 0.1 nm with the minimum size 0.02 nm.
