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Journal of the Optical Society of America B

Squeezing of quantum solitons (A)

S. J. Carter, P. D. Drummond, M. D. Reid, Robert M. Shelby

Published Feb 1, 1987• 142 citations
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Using the nonlinear quantum theory and revised Schr(?)dinger equation,the influences of the multi-photon nonlinear Compton scattering on the propagation of the soliton squeezed state in the fiber are studied,and the squeezing ratio of the soliton propagation is given out.The results show that near the ideal first-order soliton,the scattering can make the smallest soliton squeezed ratio with the increase of the soliton pulse amplitude,that is to say the larger soliton squeezed state can be gotten.With the increase of the loss,the squeezed degree of the squeezed state slowly decreases.When the loss is same,the transmission distance to get the smallest soliton squeezed ratio is shorter than that before the scattering with the increase of the soliton pulse amplitude.
We investigate the quantum squeezing of matter-wave solitons in atomic Bose–Einstein condensates. By calculating quantum fluctuations of the solitons via solving the Bogoliubov–de Gennes equations, we show that significant quantum squeezing can be realized for both bright and dark solitons. We also show that the squeezing efficiency of the solitons can be enhanced and manipulated by atom–atom interaction and soliton blackness. The results reported here are beneficial not only for understanding quantum property of matter-wave solitons, but also for promising applications of Bose-condensed quantum gases.