Fig. 2: Implementation of the Aubry-André model in an N = 11 array.
From: Programmable high-dimensional Hamiltonian in a photonic waveguide array
a The propagation constants are modulated based on Eq. (5) where βn are offset from β0. The red dashed line shows the quasiperiodic potential profile with wavelength 1/χ ≈ 0.618. b A sample of the voltage configuration used to implement the modulation is shown in (a), corresponding to Λ/C = 37.4. c Output power distribution as a function of potential strength Λ/C. Each vertical slice of the 38 shown here is the measurement for a different Hamiltonian, actualized via voltage control. The black dashed line indicates the phase transition at Λ/C = 2. d Measured (and simulated) participation ratio (PR) showing the transition to a localized regime.
