旋转调和势中涡旋图案的对称性破缺
Symmetry Breaking of Vortex Patterns in a Rotating Harmonic Potential
摘要：
利用一类Ginzburg-Landau方程数值研究了旋转谐振势中涡旋斑图的对称破缺不稳定性。破缺不稳定性使涡旋晶格的构型发生显著变化，部分涡旋远离禁闭势，导致涡旋湮灭。破缺不稳定性和涡核不稳定性决定了稳定涡型的参数区域。证明了一类复Ginzburg-Landau方程也存在破缺不稳定性。
英文摘要：
We numerically study the symmetry breaking instabilities of vortex patterns in a rotating harmonic potential using a type of Ginzburg-Landau equation. The configurations of vortex lattices change markedly by the symmetry-breaking instabilities, and then, some vortices move away from the confinement potential, which leads to the annihilation of vortices. The symmetry-breaking instabilities and the instabilities of vortex nucleation determine the parameter region of stable vortex patterns. We verify that the symmetry-breaking instabilities also occur in a type of complex Ginzburg-Landau equation.
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