Quantum correlations in bound-soliton pairs and trains in fiber lasers

Abstract

Quantum correlations in pairs and arrays (trains) of bound solitons modeled by the complex Ginzburg-Landau equation (CGLE) are calculated numerically, on the basis of linearized equations for quantum fluctuations. We find strong correlations between the bound solitons, even though the system is dissipative. Some degree of the correlation between the photon-number fluctuations of stable bound soliton pairs and trains is attained and saturates after passing a certain distance. The saturation of the photon-number correlations is explained by the action of non- conservative terms in the CGLE. Photon-number-correlated bound soliton trains offer novel possibilities to produce multipartite entangled sources for quantum communication and computation.