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In this paper we investigate the properties of self induced transparency(SIT) solitons, propagating in a $\Lambda$-type medium. It was found that theinteraction between SIT solitons can lead to trapping with their phasepreserved in the ground state coherence of the medium. These phases can bealtered in a systematic way by the application of appropriate light fields,such as additional SIT solitons. Furthermore, multiple independent SIT solitonscan be made to propagate as bi-solitons through their mutual interaction with aseparate light field. Finally, we demonstrate that control of the SIT solitonphase can be used to implement an optical exclusive-or gate.

Storage by trapping and spatial staggering of multiple interacting solitons in $\Lambda$-type media