Mj. Werner et Pd. Drummond, PULSED QUADRATURE-PHASE SQUEEZING OF SOLITARY WAVES IN CHI((2)) PARAMETRIC WAVE-GUIDES, Physical review. A, 56(2), 1997, pp. 1508-1518
It is shown that coherent quantum simultons (simultaneous solitary wav
es at two different frequencies) can undergo quadrature-phase squeezin
g as they propagate through a dispersive chi((2)) waveguide. This requ
ires a treatment of the coupled quantized fields including a quantized
depleted pump field. A technique involving nonlinear stochastic parab
olic partial differential equations using a nondiagonal coherent state
representation in combination with an exact Wigner representation on
a reduced phase space is outlined. We explicitly demonstrate that grou
p-velocity matched chi((2)) waveguides which exhibit collinear propaga
tion can produce quadrature-phase squeezed simultons. Quasi-phase-matc
hed KTP waveguides, even with their large group-velocity mismatch betw
een fundamental and second harmonic at 425 nm, can produce 3 dB squeez
ed bright pulses at 850 nm in the large phase-mismatch regime. This ca
n be improved to more than 6 dB by using group-velocity matched wavegu
ides.