Fig. 1: Photonic lattice mimicking the coupling of Fock-state lattices.
a An ABF honeycomb lattice of microwave resonators with N = 9, containing 100 resonators. Red and blue sites denote A and B resonators connected by lines with widths proportional to the local coupling strengths. b, c The geometry of a single cavity and the Ez field distribution of the TM mode in the xy b and yz c planes. The cavity has an inner radius R = 24 mm and a height h = 20 mm. An aluminum rod in the center of the cavity (with radius r = 1 and height l = 25 mm) is used to make contact with the antenna to maintain stability in excitation and measurement. Each resonator is coupled to three adjacent resonators via short waveguides with widths d1, d2, and d3. The distance between two adjacent resonators is 50 mm. An extra opening with width d4 is used to tune the resonance frequency. The radius of the hole in the top of the cavity is 3 mm. d Numerical simulation (see Supplementary Section II) of the frequency splitting of two coupled resonators. The coupling channel width d2 changes from 7 mm to 11 mm with a 0.4 mm step, while keeping d1 = d3 = 8 mm.
