标题： 杂稳定性共生涡旋亮孤子在全息不互溶二元超流体中的稳定性 显示英文标题

标题： (In)stability of symbiotic vortex-bright soliton in holographic immiscible binary superfluids

摘要： 在一阶分量中发现具有非平凡拓扑电荷的共生涡旋亮孤子结构在不混溶的两组分超流体中是稳健的，这是由于另一组分中稳定涡旋产生的有效势所致。 我们通过全息术探索了强耦合双组分超流体中共生涡旋亮孤子的性质，该方法自然地包含了有限温度效应和耗散。 我们展示了构型对各种参数（包括缠绕数、温度和组分间耦合）的依赖关系。 然后，我们通过准归一模态的线性方法以及完整的非线性数值模拟研究了共生涡旋亮孤子的（不）稳定性。 发现了分裂模式和动力学转变的丰富动力学行为。 此外，对于具有大缠绕数的巨型共生涡旋亮孤子结构，涡旋分裂不稳定性可能源于Kelvin-Helmholtz不稳定性。 我们还表明，涡旋核心中的第二组分可以充当稳定剂，以抑制甚至防止涡旋分裂不稳定性。 这种稳定机制使具有较小缠绕数的涡旋有可能合并为具有较大缠绕数的涡旋，在我们的模拟中首次证实了这一点。 显示英文摘要

摘要： Symbiotic vortex-bright soliton structures with non-trivial topological charge in one component are found to be robust in immiscibel two-component superfluids, due to the effective potential created by a stable vortex in the other component. We explore the properties of symbiotic vortex-bright soliton in strongly coupled binary superfluids by holography, which naturally incorporates finite temperature effect and dissipation. We show the dependence of the configuration on various parameters, including the winding number, temperature and inter-component coupling. We then study the (in)stability of symbiotic vortex-bright soliton by both the linear approach via quasi-normal modes and the full non-linear numerical simulation. Rich dynamics are found for the splitting patterns and dynamical transitions. Moreover, for giant symbiotic vortex-bright soliton structures with large winding numbers, the vortex splitting instability might be rooted in the Kelvin-Helmholtz instability. We also show that the second component in the vortex core could act as a stabilizer so as to suppress or even prevent vortex splitting instability. Such stabilization mechanism opens possibility for vortices with smaller winding number to merge into vortices with larger winding number, which is confirmed for the first time in our simulation.