论文标题
带有Lineon冷凝物的分形超流体的量子流体力学：从Navier-Stokes样方程到类似Landau的标准
Quantum Hydrodynamics of Fractonic Superfluids with Lineon Condensate: from Navier-Stokes-like Equations to Landau-like Criterion
论文作者
论文摘要
分形超流体是物质的异国情调状态，自发折断的高级$ u（1）$对称性。后者与保守量相关，不仅包括粒子数（即电荷），还包括较高的矩，例如偶极子，四杆和角矩。由于存在这样的保守量，颗粒的迁移率完全或部分限制。在这项工作中，我们系统地研究了分形超流体的流体动力学特性，尤其是专注于具有保守角矩的分形超流体。组成的玻色子被称为“ lineons”，其中$ d $ components in $ d $维空间。从Euler-Lagrange方程式中，我们得出了连续性方程和类似Navier-Stokes的方程，其中角矩保护引入了额外的术语。此外，我们讨论与缺陷相关的当前配置。像常规的超流体一样，我们研究了速度场和密度电流的临界值，这产生了类似Landau的标准。在这项工作结束时，讨论了几个未来的方向。
Fractonic superfluids are exotic states of matter with spontaneously broken higher-rank $U(1)$ symmetry. The latter is associated with conserved quantities that include not only particle number (i.e. charge) but also higher moments, such as dipoles, quadrupoles, and angular moments. Due to the presence of such conserved quantities, the mobility of particles is restricted either completely or partially. In this work, we systematically study hydrodynamical properties of fractonic superfluids, especially focusing on the fractonic superfluids with conserved angular moments. The constituent bosons are called "lineons" with $d$-components in $d$-dimensional space. From Euler-Lagrange equation, we derive the continuity equation and Navier-Stokes-like equations, in which the angular moment conservation introduces extra terms. Furthermore, we discuss the current configurations that are related to the defects. Like the conventional superfluid, we study the critical values of velocity fields and density currents, which gives rise to a Landau-like criterion. At the end of this work, several future directions are discussed.
