论文标题
玻色的法拉第波 - 因晶凝结物：从不稳定性到非线性动力学
Faraday waves in Bose--Einstein condensate: From instability to nonlinear dynamics
论文作者
论文摘要
我们在数值上研究煎饼形玻色（Bose-Einstein Concense（BEC））中法拉第波的动力学，但要经过定期调节相互作用。调制开始后，出现了法拉第波，此后，BEC进入了“非线性制度”，其中几种集体模式被激发了。通过在没有耗散的情况下保持调制，导致密度梯度的动能会导致准碘运动并单调增加。在非线性状态下，与深色孤子相似的密度下降，在BEC中移动，彼此相交并保持其形状。另一方面，即使关闭调制，法拉第波和非线性政权也会出现。动能会收敛到统计稳态。随着耗散的调制计算说明了法拉第波的崩溃和复兴。当耗散很小时，法拉第波的外观和崩溃再次出现。
We numerically study the dynamics of Faraday waves in a pancake-shaped Bose--Einstein condensate (BEC) subject to periodic modulation of the interaction. After the modulation starts, Faraday waves appear and, thereafter, the BEC enters the "nonlinear regime", in which several collective modes are excited. By maintaining the modulation without dissipation, the kinetic energy that contributes to the density gradient causes quasiperiodic motion and increases monotonically. In the nonlinear regime, the dips in the density similar to dark solitons move around in the BEC, intersecting with each other and maintaining their shapes. On the other hand, even by turning off the modulation, Faraday waves and the nonlinear regime appear. The kinetic energy converges to the statistical steady state. The calculation of the modulation with the dissipation illustrates the collapse and revival of Faraday waves. When the dissipation is small, the appearance and collapse of the Faraday waves and the nonlinear regime occur again.
