Perturbation theory of quantum solitons: continuum evolution and optimum squeezing by spectral filtering.
We study the quantum-noise properties of spectrally filtered solitons in optical fibers. Perturbation theory, including a quantum description of the continuum, is used to derive a complete analytical expression for the second-order correlator of the amplitude quadrature. This correlator is subsequently used to optimize the frequency response of the filter numerically in order to achieve the minimum photon-number noise. For propagation distances up to three soliton periods, the length at which the best noise reduction occurs, a square filter is found to be approximately optimum. For longer distances, more-complicated filter shapes are predicted for the best noise reduction.
Levandovsky
D
D
Department of Electrical and Computer Engineering, Northwestern University, Evanston, Illinois 60208-3118, USA.
Vasilyev
M
M
Kumar
P
P