论文标题
跨统计边界的两个人的量子步行
Quantum walk of two anyons across a statistical boundary
论文作者
论文摘要
我们对相同的粒子进行量子步行建模，这些粒子可以通过在1D晶格中跳过域壁来改变其交换统计数据。这样的“统计边界”对单个粒子是透明的，并且仅通过交换多个粒子来影响动力学。我们发现，两粒子干扰通过界面处的这些束波的反射会大大改变，从而产生强大的可测量不对称性。根据两侧的相位，束的波袋可以完全反射或分成反射波和抗挡波浪的叠加。这导致具有两个域壁的引人注目的动力学，其中堆积的波会被困在或碎片中，或碎片成多个相关的单粒子波袋。这些发现可以通过当今的原子设置中的密度依赖性跳跃来实现，并在统计边界开辟了本质上多体现象的新范式。
We model a quantum walk of identical particles that can change their exchange statistics by hopping across a domain wall in a 1D lattice. Such a "statistical boundary" is transparent to single particles and affects the dynamics only by swapping multiple particles arriving together. We find that the two-particle interference is dramatically altered by reflections of these bunched waves at the interface, producing strong measurable asymmetries. Depending on the phases on the two sides, a bunched wavepacket can get completely reflected or split into a superposition of a reflected wave and an antibunched wave. This leads to striking dynamics with two domain walls, where bunched waves can get trapped in between or fragment into multiple correlated single-particle wavepackets. These findings can be realized with density-dependent hopping in present-day atomic setups and open up a new paradigm of intrinsically many-body phenomena at statistical boundaries.
