Quantum theory of self-raman effect in optical fibers

Yinchieh Lai, Shinn-Sheng Yu

We have developed a general quantum theory of nonlinear pulse propagation and a self-consistent quantum theory of self-Raman effects in optical fibers. Our approach is based on the linearization approximation, the conservation of commutator brackets, and the concept of adjoint systems. A general, self-consistent scheme is developed to quantize nonlinear optical pulse propagation problems and a general computation procedure ("the backpropagation method") is developed to calculate the quantum uncertainties of the inner product between any given function and the (perturbed) field operator. By utilizing these results, we can calculate the magnitude of squeezing when an optical pulse propagates through an optical fiber in the presence of self-Raman effects and third-order dispersion.>

Leuchs, Marquardt

Shinn-Sheng Yu, Yinchieh Lai

Based on a newly developed general quantum theory of nonlinear optical pulse propagation, the influences of the self-Raman effect and third-order dispersion on the achievable squeezing ratio in squeezing experiments with optical fibers at both the 1.3- and 1.55-μm wavelengths are studied. In the presence of these effects, squeezing still survives, but the achievable squeezing will reach a limit as the propagation distance increases. Temperature dependence of the squeezing ratio is also examined.

Daniel F. Walls

Daniel F. Walls

Yinchieh Lai, Shinn-Sheng Yu

Based on the linearization approximation and the conservation of commutation brackets, a general, self-consistent scheme is developed to quantize nonlinear optical-pulse propagation problems. A general computation procedure is developed to calculate the quantum uncertainties of the inner product between any given function and the (perturbed) field operator. As an illustration, a self-consistent quantum theory of the self-Raman effect in optical fibers is presented. The influence of the self-Raman effect on soliton squeezing is examined.