论文标题
通过分数量子厅液体中的淬灭动力学的任何辫子
Anyonic braiding via quench dynamics in fractional quantum Hall liquids
论文作者
论文摘要
在一个劳克的分数量子厅状态下，可以通过对角度捕获势能的多体哈密顿量对角线来获得一个和两个quasihole的状态，或者对于较大的系统，可以从边缘插孔多项式的线性组合来获得。 quasihole状态完全生活在能量谱中最低能源分支的子空间中，该分支具有固定数量的轨道或硬壁限制。希尔伯特空间维度的减少促进了Quasihole状态的时间演变的研究，例如去除捕获电位。我们探索谐波外部电势下的淬火动力学，该动态旋转液滴中的准霍尔斯，并讨论远程相互作用和更现实的限制的效果。可以从浆果相计算中实现对任何人分离的Anyons的相互统计阶段的准确评估。
In a Laughlin fractional quantum Hall state, one- and two-quasihole states can be obtained by diagonalizing the many-body Hamiltonian with a trapping potential or, for larger systems, from the linear combination of the edge Jack polynomials. The quasihole states live entirely in the subspace of the lowest-energy branch in the energy spectrum with a fixed number of orbits, or a hard-wall confinement. The reduction in the Hilbert space dimension facilitates the study of time evolution of the quasihole states after, say, the removal of the trapping potential. We explore the quench dynamics under a harmonic external potential, which rotates the quasiholes in the droplet, and discuss the effect of long-range interaction and more realistic confinement. Accurate evaluation of the mutual statistics phase of anyons for a wide range of anyon separation can be achieved from the Berry-phase calculation.
