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Cross-correlation of multiplicative and additive noises in a single-mode laser white-gain-noise model and correlated noises induced transitions

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
260
Identifiers
DOI: 10.1016/s0375-9601(99)00484-3

Abstract

Abstract We examine the mechanisms of cross-correlation of white multiplicative noise and white additive noise in a single-mode laser and establish a white-gain-noise model containing such a cross-correlation. We show that the cross-correlation between the white multiplicative noise and the white additive noise causes the phase of the laser field being locked at a fixed value, in contrast to that the phase diffuses freely when the cross-correlation is zero. Consequently, the laser intensity becomes decoupled from the phase and a closed form of Langevin equation is obtained for the intensity. Studying the steady intensity distribution, we find a new phase and re-entrant phase transition that were absent in the white-gain-noise model without cross-correlation.

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