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تسجيل مستخدم جديدموجات المادة الشديدة المنفردة مع خلفية محدودة في المجففات البوزي الإيثن سبينور
Matter-Wave Bright Solitons with a Finite Background in Spinor Bose-Einstein Condensates
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نحن نقوم بتحقيق خصائص ديناميكية للسوليتون الساطعين مع خلفية محدودة في الإحياء البوزي-إيجنشتاين (BEC) بفرق F = 1، بناءً على نموذج سبينور قابل للحل الذي يساوي تفاضل الشبه الخطية الذي يحتوي على عدد غير محدود من الأعداد الصحيحة مع عدد صحيح واحد. نطبق طريقة الاستشعار العكسي المنصوصة للشروط الحدودية الغير محدودة. يمكن تصنيف الحلول السوليتون الناتجة كتطبيق عام لذلك الذي تحت الشروط الحدودية الصفرية. تم تحديد الحلول السوليتون الواحدة بشكل واضح. وفقا لسلوكها في الأبدية، فإنها تم تصنيفها إلى نوعين، نوع جدار النطاق (DW) ونوع تحويل الطور (PS). يدل DW-type على الحالة الفيرومغناطيسية مع حظوظ إجمالي ثابت و PS-type يدل على الحالة البولار، حيث يساوي حظوظ الإجمالي صفر. كما نناقش التصادمات السوليتون المزدوجة. وبالخصوص، يتم تأكيد ظاهرة خلط الإبراز في تصادم يشمل DW-type. يتوافق النتائج مع تلك التي تم الحصول عليها في الدراسات السابقة للسوليتون الساطعين تحت الشروط الحدودية الصفرية والسوليتون المظلمة. كنتيجة، نضمن ثبات وفعالية السوليتون المتعددة للإحياء البوزي-إيجنشتاين.
We investigate dynamical properties of bright solitons with a finite background in the F=1 spinor Bose-Einstein condensate (BEC), based on an integrable spinor model which is equivalent to the matrix nonlinear Schr{o}dinger equation with a self-focusing nonlineality. We apply the inverse scattering method formulated for nonvanishing boundary conditions. The resulting soliton solutions can be regarded as a generalization of those under vanishing boundary conditions. One-soliton solutions are derived in an explicit manner. According to the behaviors at the infinity, they are classified into two kinds, domain-wall (DW) type and phase-shift (PS) type. The DW-type implies the ferromagnetic state with nonzero total spin and the PS-type implies the polar state, where the total spin amounts to zero. We also discuss two-soliton collisions. In particular, the spin-mixing phenomenon is confirmed in a collision involving the DW-type. The results are consistent with those of the previous studies for bright solitons under vanishing boundary conditions and dark solitons. As a result, we establish the robustness and the usefulness of the multiple matter-wave solitons in the spinor BECs.
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