Heating up quadruply quantized vortices: Splitting patterns and dynamical transitions
arXiv:2311.01316 · doi:10.1103/PhysRevLett.131.221602
Abstract
Using holographic duality, we investigate the impact of finite temperature on the instability and splitting patterns of quadruply quantized vortices, providing the first-ever analysis in this context. Through linear stability analysis, we reveal the occurrence of two consecutive dynamical transitions. At a specific low temperature, the dominant unstable mode transitions from the -fold rotational symmetry mode to the -fold one, followed by a transition from the -fold one to the -fold one at a higher temperature. As the temperature is increased, we also observe the and -fold rotational symmetry unstable modes get excited successively. Employing the full non-linear numerical simulations, we further demonstrate that these two novel dynamical transitions, along with the temperature-induced instabilities for the and -fold rotational symmetry modes, can be identified by examining the resulting distinct splitting patterns, which offers a promising route for the experimental verification in the cold atom gases.
10 pages,8 figures, version to appear in Physical Review Letters