旋量玻色-爱因斯坦凝聚体中调制不稳定性的全时动力学
Full-time dynamics of modulational instability in spinor Bose-Einstein condensates
摘要：
我们描述了F=1旋量玻色-爱因斯坦凝聚体中与矩阵非线性薛定谔方程相关联的可积三分量模型的调制不稳定性的全时动力学。我们得到了一个精确的同宿解，我们推广到高阶投影仪的情况下，通过采用敷料的方法。这种同宿解描述了调制不稳定性的发展超出了线性政权，我们表明，调制不稳定性表现出反转属性时，调制幅度的增长是由它的指数衰减改变。
英文摘要：
We describe the full-time dynamics of modulational instability in F=1 spinor Bose-Einstein condensates for the case of the integrable three-component model associated with the matrix nonlinear Schroedinger equation. We obtain an exact homoclinic solution of this model by employing the dressing method which we generalize to the case of the higher-rank projectors. This homoclinic solution describes the development of modulational instability beyond the linear regime, and we show that the modulational instability demonstrates the reversal property when the growth of the modulation amplitude is changed by its exponential decay.
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