Quantum correlation and squeezing in pulses propagating in dispersion oscillating fibers

We consider the squeezing and correlation of quantum fluctuations in pulse pairs arising due to soliton fission in dispersion oscillating fibers. The dispersion oscillation acts as a time-domain pulse splitter. After the split, the pulses interact via their tails and acquire nonzero correlations. We analyze the correlation pattern using Karhunen-Loeve mode expansion. The regime of high intrapulse and interpulse correlations can be described using single Karhunen-Loeve mode. The regime with partial pulse-to-pulse correlation requires to take into account at least two Karhunen-Loeve modes. We found that the soliton fission in dispersion oscillating fibers allows to generate squeezed states with highly correlated fluctuations in the output pulses.