Sub-Poissonian Light in a Waveguide Kerr-medium

Waveguides on a chip represent a new medium for implementing nonlinear optical transformations of light. Modern $\text{Si}_3\text{N}_4$ chip waveguides are attractive due to their high Kerr nonlinearity, suppressed Brillouin scattering on guided acoustic waves (GAWBS), and lengths up to one meter. The capabilities of waveguides for generating sub-Poissonian light in the form of a displaced Kerr state are analyzed. We offer new analytical formulas for estimating the capabilities of suppressing photon fluctuations of a displaced Kerr state for any value of input light amplitude. The results of numerical calculations are presented. It is shown that the degree of photon noise suppression can reach values of 5 - 15 dB with 100 mW light power in waveguides a few meters long.