涡旋与分形
Vortices and Fractons
摘要：
我们讨论了一个简单的和实验可用的实现分形物理。我们注意到，超流涡形成一个哈密顿系统，保存总的偶极矩和涡的四极矩的痕迹，从而建立一个关系到一个无痕标量电荷理论在两个空间维度。接下来，我们考虑的限制，涡的数量是大的，并表明，紧急涡流体动力学也保存这些时刻。最后，我们表明运动的旋涡和分形在曲面上同意，从而开辟了一条路线，实验研究分形物理和弯曲空间之间的相互作用。我们的结论也适用于强磁场中的带电粒子。
英文摘要：
We discuss a simple and experimentally available realization of fracton physics. We note that superfluid vortices form a Hamiltonian system that conserves total dipole moment and trace of the quadrupole moment of vorticity; thereby establishing a relation to a traceless scalar charge theory in two spatial dimensions. Next we consider the limit where the number of vortices is large and show that emergent vortex hydrodynamics also conserves these moments. Finally, we show the motion of vortices and of fractons on curved surfaces agree, thereby opening a route to experimental study of the interplay between fracton physics and curved space. Our conclusions also apply to charged particles in strong magnetic field.
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