“…Among these quantum systems, the nonlinear coupler has received a significant deal of interest due to its advantages as a simple-structured, experimentally realizable, and easily integrated system. Since the standard twowaveguide coupler has been proposed [8], several designs of nonlinear couplers have been suggested such as three-waveguide [9], four-waveguide nonlinear couplers [10], [11], cavity-assisted nonlinear couplers [12], [13], and nonlinear couplers with frequency mismatch [14]. Also, nonlinear couplers based on various nonlinear processes such as Kerr nonlinear effect [15]- [18], second harmonic generation [19], and four-wave mixing have been proposed [20].…”