,Variational Approach to Study PT-Symmetric Solitons in a Bose-Einstein Condensate with Non-locality

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Considering the non-locality of interactions in a Bose-Einstein condensate,the existence and stability of solitons subject to a PT-symmetric potential are discussed.In the framework of the variational approach,we investigate how the non-locality of interactions affects the self-localization and stability of a condensate with attractive two-body interactions.The results reveal that the non-locality of interactions dramatically influences the shape,width,and chemical potential of the condensate.Analytically variational computation also predicts that there exists a critical negative non-local interaction strength (pc.< 0) with each fixed two-body interaction (g0 < 0),and there exists no bright soliton solution for p0 < pc.Furthermore,we study the effect of the non-locality interactions on the stability of the solitons using the Vakhitov-Kolokolov stability criterion.It is shown that for a positive non-local interaction (p0 > 0),there always exist stable bright solitons in some appropriate parameter regimes.
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