论文标题
黑暗孤子在Bose-Einstein冷凝物不均匀流动中的运动
Motion of dark solitons in a non-uniform flow of Bose-Einstein condensate
论文作者
论文摘要
我们研究了黑暗孤子在玻色网冷凝物的一维流动中的运动。我们的方法是基于在稍微不均匀且周围缓慢变化的暗孤子的粒子样行为上的哈密顿力学。在一维几何形状中，冷凝水的波函数在整个孤子中经历了类似跳跃的行为，这会导致背景冷凝物中的反流产生。为了正确描述Soliton的动态，考虑到这种反流对孤子的动量和能量的贡献。所得的汉密尔顿方程将减少到孤子路径的牛顿样方程，并且在几种典型情况下解决了牛顿方程。分析结果通过数值计算证实。
We study motion of dark solitons in a non-uniform one-dimensional flow of Bose-Einstein condensate. Our approach is based on Hamiltonian mechanics applied to the particle-like behavior of dark solitons in a slightly non-uniform and slowly changing surrounding. In one-dimensional geometry, the condensate's wave function undergoes the jump-like behavior across the soliton and this leads to generation of the counterflow in the background condensate. For correct description of soliton's dynamics, the contributions of this counterflow to the momentum and energy of the soliton are taken into account. The resulting Hamilton equations are reduced to the Newton-like equation for the soliton's path and this Newton equation is solved in several typical situations. The analytical results are confirmed by numerical calculations.
