On the nonclassical dynamics of cavity-assisted four-channel nonlinear coupler

Abstract

The non-classical properties of light propagating in four-channel Kerr waveguides, confined in an optical cavity, are studied. The solution to the Hamiltonian of field operators is obtained semi-analytically by using symmetrically ordered phase-space representation. Full quantum analysis of the input coherent fields displays a strong transition of photon property between the super-Poissonian and sub-Poissonian statistics. It is found that the cavity-assisted multichannel system exhibits enhanced squeezing both in single-and compound-mode. This multichannel system may be utilized as an efficient quantumlight generator.

Quantum Properties in Nonlinear Coupler with Raman Process.

“…Equations (A1)-(A36) represents the evolution of the spatial-dependent coefficients {𝐴 𝑘 (𝑧)} 1 8 , {𝐵 𝑘 (𝑧)} 1 4 , {𝑃 𝑘 (𝑧)} 1 7 , {𝑄 𝑘 (𝑧)} 1 10 , and {𝑅 𝑘 (𝑧)} 1 7 . A numerical solution of these coupled equations is necessary to obtain these coefficients for the operator solutions ( 8)- (12). Here we have solved them using the 'ode45' feature in MATLAB software using the initial condition 𝐴 1 (0) = 𝐵 1 (0) = 𝑃 1 (0) = 𝑄 1 (0) = 𝑅 1 (0) = 1 and 𝑥 𝑚 (0) = 0, while other initial conditions are set to zero.…”

“…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].…”

Quantum features of nonlinear coupler with competing nonlinearity

“…Waveguiding structure has gained considerable attention in the development of nonlinear phenomena related to the generation of quantum effects 26 – 28 . We reported before the possibilities of generating enhanced nonclassical states via multichannel interactions exploiting nonlinear waveguides with the second- χ (2) 22 , 23 or third-order χ (3) 24 , 25 nonlinear effects. The basic concept behind this was to enhance the number of interacting modes by increasing the number of χ (2) or χ (3) waveguides, wherein each system was treated independently.…”